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Finding the Fourth Proportional to 11,407.14, 15,739.15 and 6,624.24

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Solution

The fourth proportional to 11,407.14, 15,739.15 and 6,624.24 is: 9,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.14 : 15,739.15 = 6,624.24 : x
  2. Step 2: Convert to fraction form
    11,407.14/15,739.15 = 6,624.24/x
  3. Step 3: Cross multiply
    11,407.14x = 15,739.15 × 6,624.24
  4. Step 4: Simplify right side
    11,407.14x = 104,259,907.00
  5. Step 5: Solve for x
    x = 104,259,907.00/11,407.14
  6. Step 6: Final answer
    x = 9,139.88

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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.