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Finding the Fourth Proportional to 1,759.40, 2,427.32 and 1,013

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Solution

The fourth proportional to 1,759.40, 2,427.32 and 1,013 is: 1,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.40 : 2,427.32 = 1,013 : x
  2. Step 2: Convert to fraction form
    1,759.40/2,427.32 = 1,013/x
  3. Step 3: Cross multiply
    1,759.40x = 2,427.32 × 1,013
  4. Step 4: Simplify right side
    1,759.40x = 2,458,875.16
  5. Step 5: Solve for x
    x = 2,458,875.16/1,759.40
  6. Step 6: Final answer
    x = 1,397.56

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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.