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Finding the Fourth Proportional to 9,217.10, 13,810.80 and 8,342.30

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Solution

The fourth proportional to 9,217.10, 13,810.80 and 8,342.30 is: 12,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.10 : 13,810.80 = 8,342.30 : x
  2. Step 2: Convert to fraction form
    9,217.10/13,810.80 = 8,342.30/x
  3. Step 3: Cross multiply
    9,217.10x = 13,810.80 × 8,342.30
  4. Step 4: Simplify right side
    9,217.10x = 115,213,836.84
  5. Step 5: Solve for x
    x = 115,213,836.84/9,217.10
  6. Step 6: Final answer
    x = 12,500.01

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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.