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Finding the Fourth Proportional to 1,539.85, 2,125.01 and 876.67

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Solution

The fourth proportional to 1,539.85, 2,125.01 and 876.67 is: 1,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.85 : 2,125.01 = 876.67 : x
  2. Step 2: Convert to fraction form
    1,539.85/2,125.01 = 876.67/x
  3. Step 3: Cross multiply
    1,539.85x = 2,125.01 × 876.67
  4. Step 4: Simplify right side
    1,539.85x = 1,862,932.52
  5. Step 5: Solve for x
    x = 1,862,932.52/1,539.85
  6. Step 6: Final answer
    x = 1,209.81

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1.5x scale

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.