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Finding the Fourth Proportional to 1,538.95, 2,123.76 and 875.68

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Solution

The fourth proportional to 1,538.95, 2,123.76 and 875.68 is: 1,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.95 : 2,123.76 = 875.68 : x
  2. Step 2: Convert to fraction form
    1,538.95/2,123.76 = 875.68/x
  3. Step 3: Cross multiply
    1,538.95x = 2,123.76 × 875.68
  4. Step 4: Simplify right side
    1,538.95x = 1,859,734.16
  5. Step 5: Solve for x
    x = 1,859,734.16/1,538.95
  6. Step 6: Final answer
    x = 1,208.44

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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.