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Finding the Fourth Proportional to 7,689.60, 10,599.36 and 7,344

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Solution

The fourth proportional to 7,689.60, 10,599.36 and 7,344 is: 10,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.60 : 10,599.36 = 7,344 : x
  2. Step 2: Convert to fraction form
    7,689.60/10,599.36 = 7,344/x
  3. Step 3: Cross multiply
    7,689.60x = 10,599.36 × 7,344
  4. Step 4: Simplify right side
    7,689.60x = 77,841,699.84
  5. Step 5: Solve for x
    x = 77,841,699.84/7,689.60
  6. Step 6: Final answer
    x = 10,122.98

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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.