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Finding the Fourth Proportional to 9,899.68, 13,647.12 and 7,537.72

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Solution

The fourth proportional to 9,899.68, 13,647.12 and 7,537.72 is: 10,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.68 : 13,647.12 = 7,537.72 : x
  2. Step 2: Convert to fraction form
    9,899.68/13,647.12 = 7,537.72/x
  3. Step 3: Cross multiply
    9,899.68x = 13,647.12 × 7,537.72
  4. Step 4: Simplify right side
    9,899.68x = 102,868,169.37
  5. Step 5: Solve for x
    x = 102,868,169.37/9,899.68
  6. Step 6: Final answer
    x = 10,391.06

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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.