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Finding the Fourth Proportional to 9,717.60, 14,557.20 and 5,327.20

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Solution

The fourth proportional to 9,717.60, 14,557.20 and 5,327.20 is: 7,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.60 : 14,557.20 = 5,327.20 : x
  2. Step 2: Convert to fraction form
    9,717.60/14,557.20 = 5,327.20/x
  3. Step 3: Cross multiply
    9,717.60x = 14,557.20 × 5,327.20
  4. Step 4: Simplify right side
    9,717.60x = 77,549,115.84
  5. Step 5: Solve for x
    x = 77,549,115.84/9,717.60
  6. Step 6: Final answer
    x = 7,980.27

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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.