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Finding the Fourth Proportional to 1,686.61, 2,530.11 and 1,594.45

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Solution

The fourth proportional to 1,686.61, 2,530.11 and 1,594.45 is: 2,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.61 : 2,530.11 = 1,594.45 : x
  2. Step 2: Convert to fraction form
    1,686.61/2,530.11 = 1,594.45/x
  3. Step 3: Cross multiply
    1,686.61x = 2,530.11 × 1,594.45
  4. Step 4: Simplify right side
    1,686.61x = 4,034,133.89
  5. Step 5: Solve for x
    x = 4,034,133.89/1,686.61
  6. Step 6: Final answer
    x = 2,391.86

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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.