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Finding the Fourth Proportional to 23,819.68, 32,870.64 and 13,209.28

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Solution

The fourth proportional to 23,819.68, 32,870.64 and 13,209.28 is: 18,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.68 : 32,870.64 = 13,209.28 : x
  2. Step 2: Convert to fraction form
    23,819.68/32,870.64 = 13,209.28/x
  3. Step 3: Cross multiply
    23,819.68x = 32,870.64 × 13,209.28
  4. Step 4: Simplify right side
    23,819.68x = 434,197,487.54
  5. Step 5: Solve for x
    x = 434,197,487.54/23,819.68
  6. Step 6: Final answer
    x = 18,228.52

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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.