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Finding the Fourth Proportional to 9,909.76, 14,854.90 and 4,719.28

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Solution

The fourth proportional to 9,909.76, 14,854.90 and 4,719.28 is: 7,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 14,854.90 = 4,719.28 : x
  2. Step 2: Convert to fraction form
    9,909.76/14,854.90 = 4,719.28/x
  3. Step 3: Cross multiply
    9,909.76x = 14,854.90 × 4,719.28
  4. Step 4: Simplify right side
    9,909.76x = 70,104,432.47
  5. Step 5: Solve for x
    x = 70,104,432.47/9,909.76
  6. Step 6: Final answer
    x = 7,074.28

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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.