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Finding the Fourth Proportional to 1,140.14, 1,572.76 and 786.02

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Solution

The fourth proportional to 1,140.14, 1,572.76 and 786.02 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.14 : 1,572.76 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,140.14/1,572.76 = 786.02/x
  3. Step 3: Cross multiply
    1,140.14x = 1,572.76 × 786.02
  4. Step 4: Simplify right side
    1,140.14x = 1,236,220.82
  5. Step 5: Solve for x
    x = 1,236,220.82/1,140.14
  6. Step 6: Final answer
    x = 1,084.27

Related Problems

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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.