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Finding the Fourth Proportional to 3,129.88, 4,319.20 and 1,713.48

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Solution

The fourth proportional to 3,129.88, 4,319.20 and 1,713.48 is: 2,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.88 : 4,319.20 = 1,713.48 : x
  2. Step 2: Convert to fraction form
    3,129.88/4,319.20 = 1,713.48/x
  3. Step 3: Cross multiply
    3,129.88x = 4,319.20 × 1,713.48
  4. Step 4: Simplify right side
    3,129.88x = 7,400,862.82
  5. Step 5: Solve for x
    x = 7,400,862.82/3,129.88
  6. Step 6: Final answer
    x = 2,364.58

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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.