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Finding the Fourth Proportional to 15,088.25, 20,821.16 and 8,374.16

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Solution

The fourth proportional to 15,088.25, 20,821.16 and 8,374.16 is: 11,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.25 : 20,821.16 = 8,374.16 : x
  2. Step 2: Convert to fraction form
    15,088.25/20,821.16 = 8,374.16/x
  3. Step 3: Cross multiply
    15,088.25x = 20,821.16 × 8,374.16
  4. Step 4: Simplify right side
    15,088.25x = 174,359,725.23
  5. Step 5: Solve for x
    x = 174,359,725.23/15,088.25
  6. Step 6: Final answer
    x = 11,555.99

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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.