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Finding the Fourth Proportional to 11,404.04, 15,739.14 and 6,689.84

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Solution

The fourth proportional to 11,404.04, 15,739.14 and 6,689.84 is: 9,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.04 : 15,739.14 = 6,689.84 : x
  2. Step 2: Convert to fraction form
    11,404.04/15,739.14 = 6,689.84/x
  3. Step 3: Cross multiply
    11,404.04x = 15,739.14 × 6,689.84
  4. Step 4: Simplify right side
    11,404.04x = 105,292,328.34
  5. Step 5: Solve for x
    x = 105,292,328.34/11,404.04
  6. Step 6: Final answer
    x = 9,232.90

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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.