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Finding the Fourth Proportional to 14,878.86, 22,315.05 and 6,976.50

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Solution

The fourth proportional to 14,878.86, 22,315.05 and 6,976.50 is: 10,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.86 : 22,315.05 = 6,976.50 : x
  2. Step 2: Convert to fraction form
    14,878.86/22,315.05 = 6,976.50/x
  3. Step 3: Cross multiply
    14,878.86x = 22,315.05 × 6,976.50
  4. Step 4: Simplify right side
    14,878.86x = 155,680,946.33
  5. Step 5: Solve for x
    x = 155,680,946.33/14,878.86
  6. Step 6: Final answer
    x = 10,463.23

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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.