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Finding the Fourth Proportional to 11,552.65, 15,928.19 and 9,641.21

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Solution

The fourth proportional to 11,552.65, 15,928.19 and 9,641.21 is: 13,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.65 : 15,928.19 = 9,641.21 : x
  2. Step 2: Convert to fraction form
    11,552.65/15,928.19 = 9,641.21/x
  3. Step 3: Cross multiply
    11,552.65x = 15,928.19 × 9,641.21
  4. Step 4: Simplify right side
    11,552.65x = 153,566,933.02
  5. Step 5: Solve for x
    x = 153,566,933.02/11,552.65
  6. Step 6: Final answer
    x = 13,292.79

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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.