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Finding the Fourth Proportional to 4,752.81, 7,130.43 and 1,981.62

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Solution

The fourth proportional to 4,752.81, 7,130.43 and 1,981.62 is: 2,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.81 : 7,130.43 = 1,981.62 : x
  2. Step 2: Convert to fraction form
    4,752.81/7,130.43 = 1,981.62/x
  3. Step 3: Cross multiply
    4,752.81x = 7,130.43 × 1,981.62
  4. Step 4: Simplify right side
    4,752.81x = 14,129,802.70
  5. Step 5: Solve for x
    x = 14,129,802.70/4,752.81
  6. Step 6: Final answer
    x = 2,972.94

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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.