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Finding the Fourth Proportional to 14,220.76, 19,624.80 and 7,933

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Solution

The fourth proportional to 14,220.76, 19,624.80 and 7,933 is: 10,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.76 : 19,624.80 = 7,933 : x
  2. Step 2: Convert to fraction form
    14,220.76/19,624.80 = 7,933/x
  3. Step 3: Cross multiply
    14,220.76x = 19,624.80 × 7,933
  4. Step 4: Simplify right side
    14,220.76x = 155,683,538.40
  5. Step 5: Solve for x
    x = 155,683,538.40/14,220.76
  6. Step 6: Final answer
    x = 10,947.62

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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.