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Finding the Fourth Proportional to 9,988.60, 14,978.54 and 5,307.48

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Solution

The fourth proportional to 9,988.60, 14,978.54 and 5,307.48 is: 7,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.60 : 14,978.54 = 5,307.48 : x
  2. Step 2: Convert to fraction form
    9,988.60/14,978.54 = 5,307.48/x
  3. Step 3: Cross multiply
    9,988.60x = 14,978.54 × 5,307.48
  4. Step 4: Simplify right side
    9,988.60x = 79,498,301.48
  5. Step 5: Solve for x
    x = 79,498,301.48/9,988.60
  6. Step 6: Final answer
    x = 7,958.91

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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.