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Finding the Fourth Proportional to 30,647.28, 45,970.92 and 9,873.84

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Solution

The fourth proportional to 30,647.28, 45,970.92 and 9,873.84 is: 14,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.28 : 45,970.92 = 9,873.84 : x
  2. Step 2: Convert to fraction form
    30,647.28/45,970.92 = 9,873.84/x
  3. Step 3: Cross multiply
    30,647.28x = 45,970.92 × 9,873.84
  4. Step 4: Simplify right side
    30,647.28x = 453,909,508.73
  5. Step 5: Solve for x
    x = 453,909,508.73/30,647.28
  6. Step 6: Final answer
    x = 14,810.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.