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Finding the Fourth Proportional to 10,121.40, 13,926.06 and 9,888.12

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Solution

The fourth proportional to 10,121.40, 13,926.06 and 9,888.12 is: 13,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.40 : 13,926.06 = 9,888.12 : x
  2. Step 2: Convert to fraction form
    10,121.40/13,926.06 = 9,888.12/x
  3. Step 3: Cross multiply
    10,121.40x = 13,926.06 × 9,888.12
  4. Step 4: Simplify right side
    10,121.40x = 137,702,552.41
  5. Step 5: Solve for x
    x = 137,702,552.41/10,121.40
  6. Step 6: Final answer
    x = 13,605.09

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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.