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Finding the Fourth Proportional to 35,384.52, 48,819 and 20,278.92

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Solution

The fourth proportional to 35,384.52, 48,819 and 20,278.92 is: 27,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384.52 : 48,819 = 20,278.92 : x
  2. Step 2: Convert to fraction form
    35,384.52/48,819 = 20,278.92/x
  3. Step 3: Cross multiply
    35,384.52x = 48,819 × 20,278.92
  4. Step 4: Simplify right side
    35,384.52x = 989,996,595.48
  5. Step 5: Solve for x
    x = 989,996,595.48/35,384.52
  6. Step 6: Final answer
    x = 27,978.24

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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.