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Finding the Fourth Proportional to 15,999.30, 22,431.83 and 15,999.30

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Solution

The fourth proportional to 15,999.30, 22,431.83 and 15,999.30 is: 22,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.30 : 22,431.83 = 15,999.30 : x
  2. Step 2: Convert to fraction form
    15,999.30/22,431.83 = 15,999.30/x
  3. Step 3: Cross multiply
    15,999.30x = 22,431.83 × 15,999.30
  4. Step 4: Simplify right side
    15,999.30x = 358,893,497.72
  5. Step 5: Solve for x
    x = 358,893,497.72/15,999.30
  6. Step 6: Final answer
    x = 22,431.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.