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Finding the Fourth Proportional to 30,497.80, 45,742.04 and 8,312.97

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Solution

The fourth proportional to 30,497.80, 45,742.04 and 8,312.97 is: 12,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.80 : 45,742.04 = 8,312.97 : x
  2. Step 2: Convert to fraction form
    30,497.80/45,742.04 = 8,312.97/x
  3. Step 3: Cross multiply
    30,497.80x = 45,742.04 × 8,312.97
  4. Step 4: Simplify right side
    30,497.80x = 380,252,206.26
  5. Step 5: Solve for x
    x = 380,252,206.26/30,497.80
  6. Step 6: Final answer
    x = 12,468.18

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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.