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Finding the Fourth Proportional to 1,538.75, 2,123.49 and 840.14

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Solution

The fourth proportional to 1,538.75, 2,123.49 and 840.14 is: 1,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.75 : 2,123.49 = 840.14 : x
  2. Step 2: Convert to fraction form
    1,538.75/2,123.49 = 840.14/x
  3. Step 3: Cross multiply
    1,538.75x = 2,123.49 × 840.14
  4. Step 4: Simplify right side
    1,538.75x = 1,784,028.89
  5. Step 5: Solve for x
    x = 1,784,028.89/1,538.75
  6. Step 6: Final answer
    x = 1,159.40

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Half scale
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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.