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Finding the Fourth Proportional to 9,789.13, 14,757.05 and 9,137.40

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Solution

The fourth proportional to 9,789.13, 14,757.05 and 9,137.40 is: 13,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.13 : 14,757.05 = 9,137.40 : x
  2. Step 2: Convert to fraction form
    9,789.13/14,757.05 = 9,137.40/x
  3. Step 3: Cross multiply
    9,789.13x = 14,757.05 × 9,137.40
  4. Step 4: Simplify right side
    9,789.13x = 134,841,036.17
  5. Step 5: Solve for x
    x = 134,841,036.17/9,789.13
  6. Step 6: Final answer
    x = 13,774.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.