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Finding the Fourth Proportional to 6,442.32, 9,655.80 and 4,904.40

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Solution

The fourth proportional to 6,442.32, 9,655.80 and 4,904.40 is: 7,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.32 : 9,655.80 = 4,904.40 : x
  2. Step 2: Convert to fraction form
    6,442.32/9,655.80 = 4,904.40/x
  3. Step 3: Cross multiply
    6,442.32x = 9,655.80 × 4,904.40
  4. Step 4: Simplify right side
    6,442.32x = 47,355,905.52
  5. Step 5: Solve for x
    x = 47,355,905.52/6,442.32
  6. Step 6: Final answer
    x = 7,350.75

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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.