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Finding the Fourth Proportional to 17,910.72, 24,710.40 and 12,312

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Solution

The fourth proportional to 17,910.72, 24,710.40 and 12,312 is: 16,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.72 : 24,710.40 = 12,312 : x
  2. Step 2: Convert to fraction form
    17,910.72/24,710.40 = 12,312/x
  3. Step 3: Cross multiply
    17,910.72x = 24,710.40 × 12,312
  4. Step 4: Simplify right side
    17,910.72x = 304,234,444.80
  5. Step 5: Solve for x
    x = 304,234,444.80/17,910.72
  6. Step 6: Final answer
    x = 16,986.16

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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.