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Finding the Fourth Proportional to 9,918.60, 14,864.40 and 6,397.80

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Solution

The fourth proportional to 9,918.60, 14,864.40 and 6,397.80 is: 9,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.60 : 14,864.40 = 6,397.80 : x
  2. Step 2: Convert to fraction form
    9,918.60/14,864.40 = 6,397.80/x
  3. Step 3: Cross multiply
    9,918.60x = 14,864.40 × 6,397.80
  4. Step 4: Simplify right side
    9,918.60x = 95,099,458.32
  5. Step 5: Solve for x
    x = 95,099,458.32/9,918.60
  6. Step 6: Final answer
    x = 9,587.99

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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.