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Finding the Fourth Proportional to 7,642.47, 10,551.20 and 4,994.31

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Solution

The fourth proportional to 7,642.47, 10,551.20 and 4,994.31 is: 6,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.47 : 10,551.20 = 4,994.31 : x
  2. Step 2: Convert to fraction form
    7,642.47/10,551.20 = 4,994.31/x
  3. Step 3: Cross multiply
    7,642.47x = 10,551.20 × 4,994.31
  4. Step 4: Simplify right side
    7,642.47x = 52,695,963.67
  5. Step 5: Solve for x
    x = 52,695,963.67/7,642.47
  6. Step 6: Final answer
    x = 6,895.15

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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.