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Finding the Fourth Proportional to 1,247.40, 1,863.81 and 1,053

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Solution

The fourth proportional to 1,247.40, 1,863.81 and 1,053 is: 1,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.40 : 1,863.81 = 1,053 : x
  2. Step 2: Convert to fraction form
    1,247.40/1,863.81 = 1,053/x
  3. Step 3: Cross multiply
    1,247.40x = 1,863.81 × 1,053
  4. Step 4: Simplify right side
    1,247.40x = 1,962,591.93
  5. Step 5: Solve for x
    x = 1,962,591.93/1,247.40
  6. Step 6: Final answer
    x = 1,573.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.