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Finding the Fourth Proportional to 15,005.25, 20,707.25 and 8,381.25

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Solution

The fourth proportional to 15,005.25, 20,707.25 and 8,381.25 is: 11,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.25 : 20,707.25 = 8,381.25 : x
  2. Step 2: Convert to fraction form
    15,005.25/20,707.25 = 8,381.25/x
  3. Step 3: Cross multiply
    15,005.25x = 20,707.25 × 8,381.25
  4. Step 4: Simplify right side
    15,005.25x = 173,552,597.16
  5. Step 5: Solve for x
    x = 173,552,597.16/15,005.25
  6. Step 6: Final answer
    x = 11,566.13

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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.