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Finding the Fourth Proportional to 11,364.38, 15,687.69 and 7,640.54

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Solution

The fourth proportional to 11,364.38, 15,687.69 and 7,640.54 is: 10,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.38 : 15,687.69 = 7,640.54 : x
  2. Step 2: Convert to fraction form
    11,364.38/15,687.69 = 7,640.54/x
  3. Step 3: Cross multiply
    11,364.38x = 15,687.69 × 7,640.54
  4. Step 4: Simplify right side
    11,364.38x = 119,862,462.17
  5. Step 5: Solve for x
    x = 119,862,462.17/11,364.38
  6. Step 6: Final answer
    x = 10,547.20

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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.