Home / 1,420.17-2,129.13-542.50

Finding the Fourth Proportional to 1,420.17, 2,129.13 and 542.50

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Solution

The fourth proportional to 1,420.17, 2,129.13 and 542.50 is: 813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.17 : 2,129.13 = 542.50 : x
  2. Step 2: Convert to fraction form
    1,420.17/2,129.13 = 542.50/x
  3. Step 3: Cross multiply
    1,420.17x = 2,129.13 × 542.50
  4. Step 4: Simplify right side
    1,420.17x = 1,155,053.03
  5. Step 5: Solve for x
    x = 1,155,053.03/1,420.17
  6. Step 6: Final answer
    x = 813.32

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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.