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Finding the Fourth Proportional to 1,538.75, 2,123.48 and 840.17

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Solution

The fourth proportional to 1,538.75, 2,123.48 and 840.17 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.75 : 2,123.48 = 840.17 : x
  2. Step 2: Convert to fraction form
    1,538.75/2,123.48 = 840.17/x
  3. Step 3: Cross multiply
    1,538.75x = 2,123.48 × 840.17
  4. Step 4: Simplify right side
    1,538.75x = 1,784,084.19
  5. Step 5: Solve for x
    x = 1,784,084.19/1,538.75
  6. Step 6: Final answer
    x = 1,159.44

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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.