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Finding the Fourth Proportional to 8,407.74, 12,582.34 and 6,908.98

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Solution

The fourth proportional to 8,407.74, 12,582.34 and 6,908.98 is: 10,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.74 : 12,582.34 = 6,908.98 : x
  2. Step 2: Convert to fraction form
    8,407.74/12,582.34 = 6,908.98/x
  3. Step 3: Cross multiply
    8,407.74x = 12,582.34 × 6,908.98
  4. Step 4: Simplify right side
    8,407.74x = 86,931,135.41
  5. Step 5: Solve for x
    x = 86,931,135.41/8,407.74
  6. Step 6: Final answer
    x = 10,339.42

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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.