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Finding the Fourth Proportional to 12,349.61, 17,038.98 and 7,311.62

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Solution

The fourth proportional to 12,349.61, 17,038.98 and 7,311.62 is: 10,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.61 : 17,038.98 = 7,311.62 : x
  2. Step 2: Convert to fraction form
    12,349.61/17,038.98 = 7,311.62/x
  3. Step 3: Cross multiply
    12,349.61x = 17,038.98 × 7,311.62
  4. Step 4: Simplify right side
    12,349.61x = 124,582,546.95
  5. Step 5: Solve for x
    x = 124,582,546.95/12,349.61
  6. Step 6: Final answer
    x = 10,087.97

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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.