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Finding the Fourth Proportional to 9,423.75, 14,135.92 and 4,741.20

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Solution

The fourth proportional to 9,423.75, 14,135.92 and 4,741.20 is: 7,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.75 : 14,135.92 = 4,741.20 : x
  2. Step 2: Convert to fraction form
    9,423.75/14,135.92 = 4,741.20/x
  3. Step 3: Cross multiply
    9,423.75x = 14,135.92 × 4,741.20
  4. Step 4: Simplify right side
    9,423.75x = 67,021,223.90
  5. Step 5: Solve for x
    x = 67,021,223.90/9,423.75
  6. Step 6: Final answer
    x = 7,111.95

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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.