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Finding the Fourth Proportional to 9,294.48, 13,929.57 and 7,987.14

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Solution

The fourth proportional to 9,294.48, 13,929.57 and 7,987.14 is: 11,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.48 : 13,929.57 = 7,987.14 : x
  2. Step 2: Convert to fraction form
    9,294.48/13,929.57 = 7,987.14/x
  3. Step 3: Cross multiply
    9,294.48x = 13,929.57 × 7,987.14
  4. Step 4: Simplify right side
    9,294.48x = 111,257,425.73
  5. Step 5: Solve for x
    x = 111,257,425.73/9,294.48
  6. Step 6: Final answer
    x = 11,970.27

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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.