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Finding the Fourth Proportional to 15,900.48, 23,836.14 and 8,100.18

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Solution

The fourth proportional to 15,900.48, 23,836.14 and 8,100.18 is: 12,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.48 : 23,836.14 = 8,100.18 : x
  2. Step 2: Convert to fraction form
    15,900.48/23,836.14 = 8,100.18/x
  3. Step 3: Cross multiply
    15,900.48x = 23,836.14 × 8,100.18
  4. Step 4: Simplify right side
    15,900.48x = 193,077,024.51
  5. Step 5: Solve for x
    x = 193,077,024.51/15,900.48
  6. Step 6: Final answer
    x = 12,142.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.