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Finding the Fourth Proportional to 1,427.66, 2,141.53 and 387.65

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Solution

The fourth proportional to 1,427.66, 2,141.53 and 387.65 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.66 : 2,141.53 = 387.65 : x
  2. Step 2: Convert to fraction form
    1,427.66/2,141.53 = 387.65/x
  3. Step 3: Cross multiply
    1,427.66x = 2,141.53 × 387.65
  4. Step 4: Simplify right side
    1,427.66x = 830,162.17
  5. Step 5: Solve for x
    x = 830,162.17/1,427.66
  6. Step 6: Final answer
    x = 581.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.