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Finding the Fourth Proportional to 6,508.87, 8,972.90 and 4,642.63

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Solution

The fourth proportional to 6,508.87, 8,972.90 and 4,642.63 is: 6,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.87 : 8,972.90 = 4,642.63 : x
  2. Step 2: Convert to fraction form
    6,508.87/8,972.90 = 4,642.63/x
  3. Step 3: Cross multiply
    6,508.87x = 8,972.90 × 4,642.63
  4. Step 4: Simplify right side
    6,508.87x = 41,657,854.73
  5. Step 5: Solve for x
    x = 41,657,854.73/6,508.87
  6. Step 6: Final answer
    x = 6,400.17

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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.