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Finding the Fourth Proportional to 6,442.88, 9,665.60 and 2,980.13

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Solution

The fourth proportional to 6,442.88, 9,665.60 and 2,980.13 is: 4,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.88 : 9,665.60 = 2,980.13 : x
  2. Step 2: Convert to fraction form
    6,442.88/9,665.60 = 2,980.13/x
  3. Step 3: Cross multiply
    6,442.88x = 9,665.60 × 2,980.13
  4. Step 4: Simplify right side
    6,442.88x = 28,804,681.30
  5. Step 5: Solve for x
    x = 28,804,681.30/6,442.88
  6. Step 6: Final answer
    x = 4,470.78

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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.