Home / 1,427.50-2,141.76-647.68

Finding the Fourth Proportional to 1,427.50, 2,141.76 and 647.68

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Solution

The fourth proportional to 1,427.50, 2,141.76 and 647.68 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.50 : 2,141.76 = 647.68 : x
  2. Step 2: Convert to fraction form
    1,427.50/2,141.76 = 647.68/x
  3. Step 3: Cross multiply
    1,427.50x = 2,141.76 × 647.68
  4. Step 4: Simplify right side
    1,427.50x = 1,387,175.12
  5. Step 5: Solve for x
    x = 1,387,175.12/1,427.50
  6. Step 6: Final answer
    x = 971.75

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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.