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Finding the Fourth Proportional to 9,612.40, 14,386.20 and 8,834.80

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Solution

The fourth proportional to 9,612.40, 14,386.20 and 8,834.80 is: 13,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.40 : 14,386.20 = 8,834.80 : x
  2. Step 2: Convert to fraction form
    9,612.40/14,386.20 = 8,834.80/x
  3. Step 3: Cross multiply
    9,612.40x = 14,386.20 × 8,834.80
  4. Step 4: Simplify right side
    9,612.40x = 127,099,199.76
  5. Step 5: Solve for x
    x = 127,099,199.76/9,612.40
  6. Step 6: Final answer
    x = 13,222.42

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1.5x scale

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.