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Finding the Fourth Proportional to 35,382.71, 48,828.28 and 20,275.71

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Solution

The fourth proportional to 35,382.71, 48,828.28 and 20,275.71 is: 27,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.71 : 48,828.28 = 20,275.71 : x
  2. Step 2: Convert to fraction form
    35,382.71/48,828.28 = 20,275.71/x
  3. Step 3: Cross multiply
    35,382.71x = 48,828.28 × 20,275.71
  4. Step 4: Simplify right side
    35,382.71x = 990,028,045.08
  5. Step 5: Solve for x
    x = 990,028,045.08/35,382.71
  6. Step 6: Final answer
    x = 27,980.56

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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.