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Finding the Fourth Proportional to 22,722.84, 34,085.64 and 7,140.47

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Solution

The fourth proportional to 22,722.84, 34,085.64 and 7,140.47 is: 10,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.84 : 34,085.64 = 7,140.47 : x
  2. Step 2: Convert to fraction form
    22,722.84/34,085.64 = 7,140.47/x
  3. Step 3: Cross multiply
    22,722.84x = 34,085.64 × 7,140.47
  4. Step 4: Simplify right side
    22,722.84x = 243,387,319.42
  5. Step 5: Solve for x
    x = 243,387,319.42/22,722.84
  6. Step 6: Final answer
    x = 10,711.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.