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Finding the Fourth Proportional to 3,430.90, 5,139.15 and 2,854.90

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Solution

The fourth proportional to 3,430.90, 5,139.15 and 2,854.90 is: 4,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.90 : 5,139.15 = 2,854.90 : x
  2. Step 2: Convert to fraction form
    3,430.90/5,139.15 = 2,854.90/x
  3. Step 3: Cross multiply
    3,430.90x = 5,139.15 × 2,854.90
  4. Step 4: Simplify right side
    3,430.90x = 14,671,759.34
  5. Step 5: Solve for x
    x = 14,671,759.34/3,430.90
  6. Step 6: Final answer
    x = 4,276.36

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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.