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Finding the Fourth Proportional to 8,213.55, 12,312.12 and 2,947.14

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Solution

The fourth proportional to 8,213.55, 12,312.12 and 2,947.14 is: 4,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.55 : 12,312.12 = 2,947.14 : x
  2. Step 2: Convert to fraction form
    8,213.55/12,312.12 = 2,947.14/x
  3. Step 3: Cross multiply
    8,213.55x = 12,312.12 × 2,947.14
  4. Step 4: Simplify right side
    8,213.55x = 36,285,541.34
  5. Step 5: Solve for x
    x = 36,285,541.34/8,213.55
  6. Step 6: Final answer
    x = 4,417.77

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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.