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Finding the Fourth Proportional to 7,042.68, 9,722.70 and 5,643

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Solution

The fourth proportional to 7,042.68, 9,722.70 and 5,643 is: 7,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 9,722.70 = 5,643 : x
  2. Step 2: Convert to fraction form
    7,042.68/9,722.70 = 5,643/x
  3. Step 3: Cross multiply
    7,042.68x = 9,722.70 × 5,643
  4. Step 4: Simplify right side
    7,042.68x = 54,865,196.10
  5. Step 5: Solve for x
    x = 54,865,196.10/7,042.68
  6. Step 6: Final answer
    x = 7,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.