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Finding the Fourth Proportional to 2,666.90, 3,997.65 and 1,570.70

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Solution

The fourth proportional to 2,666.90, 3,997.65 and 1,570.70 is: 2,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.90 : 3,997.65 = 1,570.70 : x
  2. Step 2: Convert to fraction form
    2,666.90/3,997.65 = 1,570.70/x
  3. Step 3: Cross multiply
    2,666.90x = 3,997.65 × 1,570.70
  4. Step 4: Simplify right side
    2,666.90x = 6,279,108.86
  5. Step 5: Solve for x
    x = 6,279,108.86/2,666.90
  6. Step 6: Final answer
    x = 2,354.46

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1.5x scale

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.