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Finding the Fourth Proportional to 8,380.12, 12,570.10 and 5,094.12

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Solution

The fourth proportional to 8,380.12, 12,570.10 and 5,094.12 is: 7,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.12 : 12,570.10 = 5,094.12 : x
  2. Step 2: Convert to fraction form
    8,380.12/12,570.10 = 5,094.12/x
  3. Step 3: Cross multiply
    8,380.12x = 12,570.10 × 5,094.12
  4. Step 4: Simplify right side
    8,380.12x = 64,033,597.81
  5. Step 5: Solve for x
    x = 64,033,597.81/8,380.12
  6. Step 6: Final answer
    x = 7,641.13

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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.