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Finding the Fourth Proportional to 2,567.88, 3,543.02 and 1,572.80

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Solution

The fourth proportional to 2,567.88, 3,543.02 and 1,572.80 is: 2,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.88 : 3,543.02 = 1,572.80 : x
  2. Step 2: Convert to fraction form
    2,567.88/3,543.02 = 1,572.80/x
  3. Step 3: Cross multiply
    2,567.88x = 3,543.02 × 1,572.80
  4. Step 4: Simplify right side
    2,567.88x = 5,572,461.86
  5. Step 5: Solve for x
    x = 5,572,461.86/2,567.88
  6. Step 6: Final answer
    x = 2,170.06

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1.5x scale

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.