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Finding the Fourth Proportional to 35,705.88, 49,275.71 and 20,393.76

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Solution

The fourth proportional to 35,705.88, 49,275.71 and 20,393.76 is: 28,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.88 : 49,275.71 = 20,393.76 : x
  2. Step 2: Convert to fraction form
    35,705.88/49,275.71 = 20,393.76/x
  3. Step 3: Cross multiply
    35,705.88x = 49,275.71 × 20,393.76
  4. Step 4: Simplify right side
    35,705.88x = 1,004,917,000.40
  5. Step 5: Solve for x
    x = 1,004,917,000.40/35,705.88
  6. Step 6: Final answer
    x = 28,144.30

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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.