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Finding the Fourth Proportional to 8,615.84, 12,929.42 and 4,723

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Solution

The fourth proportional to 8,615.84, 12,929.42 and 4,723 is: 7,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.84 : 12,929.42 = 4,723 : x
  2. Step 2: Convert to fraction form
    8,615.84/12,929.42 = 4,723/x
  3. Step 3: Cross multiply
    8,615.84x = 12,929.42 × 4,723
  4. Step 4: Simplify right side
    8,615.84x = 61,065,650.66
  5. Step 5: Solve for x
    x = 61,065,650.66/8,615.84
  6. Step 6: Final answer
    x = 7,087.60

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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.