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Finding the Fourth Proportional to 13,772.76, 19,006.78 and 7,485.14

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Solution

The fourth proportional to 13,772.76, 19,006.78 and 7,485.14 is: 10,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.76 : 19,006.78 = 7,485.14 : x
  2. Step 2: Convert to fraction form
    13,772.76/19,006.78 = 7,485.14/x
  3. Step 3: Cross multiply
    13,772.76x = 19,006.78 × 7,485.14
  4. Step 4: Simplify right side
    13,772.76x = 142,268,409.25
  5. Step 5: Solve for x
    x = 142,268,409.25/13,772.76
  6. Step 6: Final answer
    x = 10,329.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.