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Finding the Fourth Proportional to 7,690.60, 10,600.74 and 7,345

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Solution

The fourth proportional to 7,690.60, 10,600.74 and 7,345 is: 10,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.60 : 10,600.74 = 7,345 : x
  2. Step 2: Convert to fraction form
    7,690.60/10,600.74 = 7,345/x
  3. Step 3: Cross multiply
    7,690.60x = 10,600.74 × 7,345
  4. Step 4: Simplify right side
    7,690.60x = 77,862,435.30
  5. Step 5: Solve for x
    x = 77,862,435.30/7,690.60
  6. Step 6: Final answer
    x = 10,124.36

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1.5x scale

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.