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Finding the Fourth Proportional to 4,753.16, 7,125.89 and 1,981.91

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Solution

The fourth proportional to 4,753.16, 7,125.89 and 1,981.91 is: 2,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.16 : 7,125.89 = 1,981.91 : x
  2. Step 2: Convert to fraction form
    4,753.16/7,125.89 = 1,981.91/x
  3. Step 3: Cross multiply
    4,753.16x = 7,125.89 × 1,981.91
  4. Step 4: Simplify right side
    4,753.16x = 14,122,895.42
  5. Step 5: Solve for x
    x = 14,122,895.42/4,753.16
  6. Step 6: Final answer
    x = 2,971.26

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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.