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Finding the Fourth Proportional to 4,865, 6,713.86 and 2,657

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Solution

The fourth proportional to 4,865, 6,713.86 and 2,657 is: 3,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865 : 6,713.86 = 2,657 : x
  2. Step 2: Convert to fraction form
    4,865/6,713.86 = 2,657/x
  3. Step 3: Cross multiply
    4,865x = 6,713.86 × 2,657
  4. Step 4: Simplify right side
    4,865x = 17,838,726.02
  5. Step 5: Solve for x
    x = 17,838,726.02/4,865
  6. Step 6: Final answer
    x = 3,666.75

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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.