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Finding the Fourth Proportional to 6,468.64, 8,928.95 and 3,815.89

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Solution

The fourth proportional to 6,468.64, 8,928.95 and 3,815.89 is: 5,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.64 : 8,928.95 = 3,815.89 : x
  2. Step 2: Convert to fraction form
    6,468.64/8,928.95 = 3,815.89/x
  3. Step 3: Cross multiply
    6,468.64x = 8,928.95 × 3,815.89
  4. Step 4: Simplify right side
    6,468.64x = 34,071,849.61
  5. Step 5: Solve for x
    x = 34,071,849.61/6,468.64
  6. Step 6: Final answer
    x = 5,267.24

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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.