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Finding the Fourth Proportional to 12,345.75, 17,031.06 and 8,368.11

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Solution

The fourth proportional to 12,345.75, 17,031.06 and 8,368.11 is: 11,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.75 : 17,031.06 = 8,368.11 : x
  2. Step 2: Convert to fraction form
    12,345.75/17,031.06 = 8,368.11/x
  3. Step 3: Cross multiply
    12,345.75x = 17,031.06 × 8,368.11
  4. Step 4: Simplify right side
    12,345.75x = 142,517,783.50
  5. Step 5: Solve for x
    x = 142,517,783.50/12,345.75
  6. Step 6: Final answer
    x = 11,543.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.