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Finding the Fourth Proportional to 34,506, 47,618.28 and 20,358.84

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Solution

The fourth proportional to 34,506, 47,618.28 and 20,358.84 is: 28,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 47,618.28 = 20,358.84 : x
  2. Step 2: Convert to fraction form
    34,506/47,618.28 = 20,358.84/x
  3. Step 3: Cross multiply
    34,506x = 47,618.28 × 20,358.84
  4. Step 4: Simplify right side
    34,506x = 969,453,122.16
  5. Step 5: Solve for x
    x = 969,453,122.16/34,506
  6. Step 6: Final answer
    x = 28,095.20

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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.