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Finding the Fourth Proportional to 10,375.65, 14,283.80 and 9,899.03

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Solution

The fourth proportional to 10,375.65, 14,283.80 and 9,899.03 is: 13,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.65 : 14,283.80 = 9,899.03 : x
  2. Step 2: Convert to fraction form
    10,375.65/14,283.80 = 9,899.03/x
  3. Step 3: Cross multiply
    10,375.65x = 14,283.80 × 9,899.03
  4. Step 4: Simplify right side
    10,375.65x = 141,395,750.93
  5. Step 5: Solve for x
    x = 141,395,750.93/10,375.65
  6. Step 6: Final answer
    x = 13,627.65

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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.