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Finding the Fourth Proportional to 9,641.84, 14,440.68 and 7,987.28

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Solution

The fourth proportional to 9,641.84, 14,440.68 and 7,987.28 is: 11,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.84 : 14,440.68 = 7,987.28 : x
  2. Step 2: Convert to fraction form
    9,641.84/14,440.68 = 7,987.28/x
  3. Step 3: Cross multiply
    9,641.84x = 14,440.68 × 7,987.28
  4. Step 4: Simplify right side
    9,641.84x = 115,341,754.55
  5. Step 5: Solve for x
    x = 115,341,754.55/9,641.84
  6. Step 6: Final answer
    x = 11,962.63

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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.