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Finding the Fourth Proportional to 15,890, 23,841.61 and 7,000.78

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Solution

The fourth proportional to 15,890, 23,841.61 and 7,000.78 is: 10,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890 : 23,841.61 = 7,000.78 : x
  2. Step 2: Convert to fraction form
    15,890/23,841.61 = 7,000.78/x
  3. Step 3: Cross multiply
    15,890x = 23,841.61 × 7,000.78
  4. Step 4: Simplify right side
    15,890x = 166,909,866.46
  5. Step 5: Solve for x
    x = 166,909,866.46/15,890
  6. Step 6: Final answer
    x = 10,504.08

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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.