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Finding the Fourth Proportional to 35,641.76, 49,189.30 and 20,535

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Solution

The fourth proportional to 35,641.76, 49,189.30 and 20,535 is: 28,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.76 : 49,189.30 = 20,535 : x
  2. Step 2: Convert to fraction form
    35,641.76/49,189.30 = 20,535/x
  3. Step 3: Cross multiply
    35,641.76x = 49,189.30 × 20,535
  4. Step 4: Simplify right side
    35,641.76x = 1,010,102,275.50
  5. Step 5: Solve for x
    x = 1,010,102,275.50/35,641.76
  6. Step 6: Final answer
    x = 28,340.42

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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.