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Finding the Fourth Proportional to 10,045.56, 13,922.49 and 9,895.80

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Solution

The fourth proportional to 10,045.56, 13,922.49 and 9,895.80 is: 13,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.56 : 13,922.49 = 9,895.80 : x
  2. Step 2: Convert to fraction form
    10,045.56/13,922.49 = 9,895.80/x
  3. Step 3: Cross multiply
    10,045.56x = 13,922.49 × 9,895.80
  4. Step 4: Simplify right side
    10,045.56x = 137,774,176.54
  5. Step 5: Solve for x
    x = 137,774,176.54/10,045.56
  6. Step 6: Final answer
    x = 13,714.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.