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Finding the Fourth Proportional to 15,894.63, 23,842.40 and 8,870.72

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Solution

The fourth proportional to 15,894.63, 23,842.40 and 8,870.72 is: 13,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.63 : 23,842.40 = 8,870.72 : x
  2. Step 2: Convert to fraction form
    15,894.63/23,842.40 = 8,870.72/x
  3. Step 3: Cross multiply
    15,894.63x = 23,842.40 × 8,870.72
  4. Step 4: Simplify right side
    15,894.63x = 211,499,140.86
  5. Step 5: Solve for x
    x = 211,499,140.86/15,894.63
  6. Step 6: Final answer
    x = 13,306.33

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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.