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Finding the Fourth Proportional to 15,811.13, 21,822.99 and 9,100.63

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Solution

The fourth proportional to 15,811.13, 21,822.99 and 9,100.63 is: 12,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.13 : 21,822.99 = 9,100.63 : x
  2. Step 2: Convert to fraction form
    15,811.13/21,822.99 = 9,100.63/x
  3. Step 3: Cross multiply
    15,811.13x = 21,822.99 × 9,100.63
  4. Step 4: Simplify right side
    15,811.13x = 198,602,957.48
  5. Step 5: Solve for x
    x = 198,602,957.48/15,811.13
  6. Step 6: Final answer
    x = 12,560.96

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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.