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Finding the Fourth Proportional to 25,825, 35,633 and 15,210.76

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Solution

The fourth proportional to 25,825, 35,633 and 15,210.76 is: 20,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825 : 35,633 = 15,210.76 : x
  2. Step 2: Convert to fraction form
    25,825/35,633 = 15,210.76/x
  3. Step 3: Cross multiply
    25,825x = 35,633 × 15,210.76
  4. Step 4: Simplify right side
    25,825x = 542,005,011.08
  5. Step 5: Solve for x
    x = 542,005,011.08/25,825
  6. Step 6: Final answer
    x = 20,987.61

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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.