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Finding the Fourth Proportional to 15,894.60, 23,821.74 and 7,129.16

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Solution

The fourth proportional to 15,894.60, 23,821.74 and 7,129.16 is: 10,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.60 : 23,821.74 = 7,129.16 : x
  2. Step 2: Convert to fraction form
    15,894.60/23,821.74 = 7,129.16/x
  3. Step 3: Cross multiply
    15,894.60x = 23,821.74 × 7,129.16
  4. Step 4: Simplify right side
    15,894.60x = 169,828,995.94
  5. Step 5: Solve for x
    x = 169,828,995.94/15,894.60
  6. Step 6: Final answer
    x = 10,684.70

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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.