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Finding the Fourth Proportional to 15,088.94, 20,822.80 and 8,374.70

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Solution

The fourth proportional to 15,088.94, 20,822.80 and 8,374.70 is: 11,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.94 : 20,822.80 = 8,374.70 : x
  2. Step 2: Convert to fraction form
    15,088.94/20,822.80 = 8,374.70/x
  3. Step 3: Cross multiply
    15,088.94x = 20,822.80 × 8,374.70
  4. Step 4: Simplify right side
    15,088.94x = 174,384,703.16
  5. Step 5: Solve for x
    x = 174,384,703.16/15,088.94
  6. Step 6: Final answer
    x = 11,557.12

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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.