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Finding the Fourth Proportional to 1,540.68, 2,125.95 and 877.50

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Solution

The fourth proportional to 1,540.68, 2,125.95 and 877.50 is: 1,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.68 : 2,125.95 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,540.68/2,125.95 = 877.50/x
  3. Step 3: Cross multiply
    1,540.68x = 2,125.95 × 877.50
  4. Step 4: Simplify right side
    1,540.68x = 1,865,521.13
  5. Step 5: Solve for x
    x = 1,865,521.13/1,540.68
  6. Step 6: Final answer
    x = 1,210.84

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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.