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Finding the Fourth Proportional to 12,225.66, 16,870.24 and 9,713.85

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Solution

The fourth proportional to 12,225.66, 16,870.24 and 9,713.85 is: 13,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.66 : 16,870.24 = 9,713.85 : x
  2. Step 2: Convert to fraction form
    12,225.66/16,870.24 = 9,713.85/x
  3. Step 3: Cross multiply
    12,225.66x = 16,870.24 × 9,713.85
  4. Step 4: Simplify right side
    12,225.66x = 163,874,980.82
  5. Step 5: Solve for x
    x = 163,874,980.82/12,225.66
  6. Step 6: Final answer
    x = 13,404.18

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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.