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Finding the Fourth Proportional to 10,964.90, 15,131.07 and 6,987.29

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Solution

The fourth proportional to 10,964.90, 15,131.07 and 6,987.29 is: 9,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.90 : 15,131.07 = 6,987.29 : x
  2. Step 2: Convert to fraction form
    10,964.90/15,131.07 = 6,987.29/x
  3. Step 3: Cross multiply
    10,964.90x = 15,131.07 × 6,987.29
  4. Step 4: Simplify right side
    10,964.90x = 105,725,098.44
  5. Step 5: Solve for x
    x = 105,725,098.44/10,964.90
  6. Step 6: Final answer
    x = 9,642.14

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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.