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Finding the Fourth Proportional to 3,686.90, 5,527.16 and 1,737.74

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Solution

The fourth proportional to 3,686.90, 5,527.16 and 1,737.74 is: 2,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.90 : 5,527.16 = 1,737.74 : x
  2. Step 2: Convert to fraction form
    3,686.90/5,527.16 = 1,737.74/x
  3. Step 3: Cross multiply
    3,686.90x = 5,527.16 × 1,737.74
  4. Step 4: Simplify right side
    3,686.90x = 9,604,743.73
  5. Step 5: Solve for x
    x = 9,604,743.73/3,686.90
  6. Step 6: Final answer
    x = 2,605.10

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1.5x scale

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.