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Finding the Fourth Proportional to 10,999.80, 15,176.01 and 7,023.21

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Solution

The fourth proportional to 10,999.80, 15,176.01 and 7,023.21 is: 9,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.80 : 15,176.01 = 7,023.21 : x
  2. Step 2: Convert to fraction form
    10,999.80/15,176.01 = 7,023.21/x
  3. Step 3: Cross multiply
    10,999.80x = 15,176.01 × 7,023.21
  4. Step 4: Simplify right side
    10,999.80x = 106,584,235.11
  5. Step 5: Solve for x
    x = 106,584,235.11/10,999.80
  6. Step 6: Final answer
    x = 9,689.65

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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.