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Finding the Fourth Proportional to 9,854.80, 14,774.40 and 4,921.90

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Solution

The fourth proportional to 9,854.80, 14,774.40 and 4,921.90 is: 7,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.80 : 14,774.40 = 4,921.90 : x
  2. Step 2: Convert to fraction form
    9,854.80/14,774.40 = 4,921.90/x
  3. Step 3: Cross multiply
    9,854.80x = 14,774.40 × 4,921.90
  4. Step 4: Simplify right side
    9,854.80x = 72,718,082.42
  5. Step 5: Solve for x
    x = 72,718,082.42/9,854.80
  6. Step 6: Final answer
    x = 7,378.95

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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.