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Finding the Fourth Proportional to 34,574.76, 47,695.60 and 20,225.20

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Solution

The fourth proportional to 34,574.76, 47,695.60 and 20,225.20 is: 27,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574.76 : 47,695.60 = 20,225.20 : x
  2. Step 2: Convert to fraction form
    34,574.76/47,695.60 = 20,225.20/x
  3. Step 3: Cross multiply
    34,574.76x = 47,695.60 × 20,225.20
  4. Step 4: Simplify right side
    34,574.76x = 964,653,049.12
  5. Step 5: Solve for x
    x = 964,653,049.12/34,574.76
  6. Step 6: Final answer
    x = 27,900.50

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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.