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Finding the Fourth Proportional to 12,543.65, 17,310.42 and 6,878.91

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Solution

The fourth proportional to 12,543.65, 17,310.42 and 6,878.91 is: 9,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.65 : 17,310.42 = 6,878.91 : x
  2. Step 2: Convert to fraction form
    12,543.65/17,310.42 = 6,878.91/x
  3. Step 3: Cross multiply
    12,543.65x = 17,310.42 × 6,878.91
  4. Step 4: Simplify right side
    12,543.65x = 119,076,821.24
  5. Step 5: Solve for x
    x = 119,076,821.24/12,543.65
  6. Step 6: Final answer
    x = 9,493.00

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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.