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Finding the Fourth Proportional to 4,520, 6,238.14 and 2,657

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Solution

The fourth proportional to 4,520, 6,238.14 and 2,657 is: 3,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520 : 6,238.14 = 2,657 : x
  2. Step 2: Convert to fraction form
    4,520/6,238.14 = 2,657/x
  3. Step 3: Cross multiply
    4,520x = 6,238.14 × 2,657
  4. Step 4: Simplify right side
    4,520x = 16,574,737.98
  5. Step 5: Solve for x
    x = 16,574,737.98/4,520
  6. Step 6: Final answer
    x = 3,666.98

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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.