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Finding the Fourth Proportional to 2,668.90, 4,000.65 and 1,572.70

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Solution

The fourth proportional to 2,668.90, 4,000.65 and 1,572.70 is: 2,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.90 : 4,000.65 = 1,572.70 : x
  2. Step 2: Convert to fraction form
    2,668.90/4,000.65 = 1,572.70/x
  3. Step 3: Cross multiply
    2,668.90x = 4,000.65 × 1,572.70
  4. Step 4: Simplify right side
    2,668.90x = 6,291,822.26
  5. Step 5: Solve for x
    x = 6,291,822.26/2,668.90
  6. Step 6: Final answer
    x = 2,357.46

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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.