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Finding the Fourth Proportional to 15,810.78, 23,716.20 and 10,865.40

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Solution

The fourth proportional to 15,810.78, 23,716.20 and 10,865.40 is: 16,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.78 : 23,716.20 = 10,865.40 : x
  2. Step 2: Convert to fraction form
    15,810.78/23,716.20 = 10,865.40/x
  3. Step 3: Cross multiply
    15,810.78x = 23,716.20 × 10,865.40
  4. Step 4: Simplify right side
    15,810.78x = 257,685,999.48
  5. Step 5: Solve for x
    x = 257,685,999.48/15,810.78
  6. Step 6: Final answer
    x = 16,298.12

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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.