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Finding the Fourth Proportional to 9,988.95, 13,779.54 and 8,102.73

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Solution

The fourth proportional to 9,988.95, 13,779.54 and 8,102.73 is: 11,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.95 : 13,779.54 = 8,102.73 : x
  2. Step 2: Convert to fraction form
    9,988.95/13,779.54 = 8,102.73/x
  3. Step 3: Cross multiply
    9,988.95x = 13,779.54 × 8,102.73
  4. Step 4: Simplify right side
    9,988.95x = 111,651,892.14
  5. Step 5: Solve for x
    x = 111,651,892.14/9,988.95
  6. Step 6: Final answer
    x = 11,177.54

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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.