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Finding the Fourth Proportional to 16,187.80, 24,271.80 and 6,315.70

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Solution

The fourth proportional to 16,187.80, 24,271.80 and 6,315.70 is: 9,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.80 : 24,271.80 = 6,315.70 : x
  2. Step 2: Convert to fraction form
    16,187.80/24,271.80 = 6,315.70/x
  3. Step 3: Cross multiply
    16,187.80x = 24,271.80 × 6,315.70
  4. Step 4: Simplify right side
    16,187.80x = 153,293,407.26
  5. Step 5: Solve for x
    x = 153,293,407.26/16,187.80
  6. Step 6: Final answer
    x = 9,469.69

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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.