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Finding the Fourth Proportional to 30,581.40, 45,872.10 and 8,398.20

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Solution

The fourth proportional to 30,581.40, 45,872.10 and 8,398.20 is: 12,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.40 : 45,872.10 = 8,398.20 : x
  2. Step 2: Convert to fraction form
    30,581.40/45,872.10 = 8,398.20/x
  3. Step 3: Cross multiply
    30,581.40x = 45,872.10 × 8,398.20
  4. Step 4: Simplify right side
    30,581.40x = 385,243,070.22
  5. Step 5: Solve for x
    x = 385,243,070.22/30,581.40
  6. Step 6: Final answer
    x = 12,597.30

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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.