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Finding the Fourth Proportional to 15,811.29, 23,718.29 and 6,451.94

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Solution

The fourth proportional to 15,811.29, 23,718.29 and 6,451.94 is: 9,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.29 : 23,718.29 = 6,451.94 : x
  2. Step 2: Convert to fraction form
    15,811.29/23,718.29 = 6,451.94/x
  3. Step 3: Cross multiply
    15,811.29x = 23,718.29 × 6,451.94
  4. Step 4: Simplify right side
    15,811.29x = 153,029,011.02
  5. Step 5: Solve for x
    x = 153,029,011.02/15,811.29
  6. Step 6: Final answer
    x = 9,678.46

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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.