Home / 1,543.20-2,296.80-1,538.40

Finding the Fourth Proportional to 1,543.20, 2,296.80 and 1,538.40

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Solution

The fourth proportional to 1,543.20, 2,296.80 and 1,538.40 is: 2,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.20 : 2,296.80 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    1,543.20/2,296.80 = 1,538.40/x
  3. Step 3: Cross multiply
    1,543.20x = 2,296.80 × 1,538.40
  4. Step 4: Simplify right side
    1,543.20x = 3,533,397.12
  5. Step 5: Solve for x
    x = 3,533,397.12/1,543.20
  6. Step 6: Final answer
    x = 2,289.66

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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.