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Finding the Fourth Proportional to 34,574.76, 47,712.78 and 20,427.30

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Solution

The fourth proportional to 34,574.76, 47,712.78 and 20,427.30 is: 28,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574.76 : 47,712.78 = 20,427.30 : x
  2. Step 2: Convert to fraction form
    34,574.76/47,712.78 = 20,427.30/x
  3. Step 3: Cross multiply
    34,574.76x = 47,712.78 × 20,427.30
  4. Step 4: Simplify right side
    34,574.76x = 974,643,270.89
  5. Step 5: Solve for x
    x = 974,643,270.89/34,574.76
  6. Step 6: Final answer
    x = 28,189.44

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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.