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Finding the Fourth Proportional to 6,442.34, 9,670.86 and 6,077.84

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Solution

The fourth proportional to 6,442.34, 9,670.86 and 6,077.84 is: 9,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.34 : 9,670.86 = 6,077.84 : x
  2. Step 2: Convert to fraction form
    6,442.34/9,670.86 = 6,077.84/x
  3. Step 3: Cross multiply
    6,442.34x = 9,670.86 × 6,077.84
  4. Step 4: Simplify right side
    6,442.34x = 58,777,891.39
  5. Step 5: Solve for x
    x = 58,777,891.39/6,442.34
  6. Step 6: Final answer
    x = 9,123.69

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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.