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Finding the Fourth Proportional to 4,376, 6,564 and 4,265.84

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Solution

The fourth proportional to 4,376, 6,564 and 4,265.84 is: 6,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376 : 6,564 = 4,265.84 : x
  2. Step 2: Convert to fraction form
    4,376/6,564 = 4,265.84/x
  3. Step 3: Cross multiply
    4,376x = 6,564 × 4,265.84
  4. Step 4: Simplify right side
    4,376x = 28,000,973.76
  5. Step 5: Solve for x
    x = 28,000,973.76/4,376
  6. Step 6: Final answer
    x = 6,398.76

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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.