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Finding the Fourth Proportional to 35,398.64, 48,842.28 and 20,486

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Solution

The fourth proportional to 35,398.64, 48,842.28 and 20,486 is: 28,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398.64 : 48,842.28 = 20,486 : x
  2. Step 2: Convert to fraction form
    35,398.64/48,842.28 = 20,486/x
  3. Step 3: Cross multiply
    35,398.64x = 48,842.28 × 20,486
  4. Step 4: Simplify right side
    35,398.64x = 1,000,582,948.08
  5. Step 5: Solve for x
    x = 1,000,582,948.08/35,398.64
  6. Step 6: Final answer
    x = 28,266.14

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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.