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Finding the Fourth Proportional to 11,754.40, 17,640.24 and 5,915.20

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Solution

The fourth proportional to 11,754.40, 17,640.24 and 5,915.20 is: 8,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.40 : 17,640.24 = 5,915.20 : x
  2. Step 2: Convert to fraction form
    11,754.40/17,640.24 = 5,915.20/x
  3. Step 3: Cross multiply
    11,754.40x = 17,640.24 × 5,915.20
  4. Step 4: Simplify right side
    11,754.40x = 104,345,547.65
  5. Step 5: Solve for x
    x = 104,345,547.65/11,754.40
  6. Step 6: Final answer
    x = 8,877.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.