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Finding the Fourth Proportional to 6,442.63, 9,662.77 and 2,931.78

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Solution

The fourth proportional to 6,442.63, 9,662.77 and 2,931.78 is: 4,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.63 : 9,662.77 = 2,931.78 : x
  2. Step 2: Convert to fraction form
    6,442.63/9,662.77 = 2,931.78/x
  3. Step 3: Cross multiply
    6,442.63x = 9,662.77 × 2,931.78
  4. Step 4: Simplify right side
    6,442.63x = 28,329,115.83
  5. Step 5: Solve for x
    x = 28,329,115.83/6,442.63
  6. Step 6: Final answer
    x = 4,397.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.