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Finding the Fourth Proportional to 9,478, 14,216.40 and 3,701.76

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Solution

The fourth proportional to 9,478, 14,216.40 and 3,701.76 is: 5,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 14,216.40 = 3,701.76 : x
  2. Step 2: Convert to fraction form
    9,478/14,216.40 = 3,701.76/x
  3. Step 3: Cross multiply
    9,478x = 14,216.40 × 3,701.76
  4. Step 4: Simplify right side
    9,478x = 52,625,700.86
  5. Step 5: Solve for x
    x = 52,625,700.86/9,478
  6. Step 6: Final answer
    x = 5,552.41

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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.