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Finding the Fourth Proportional to 8,904.84, 12,275.46 and 7,639.80

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Solution

The fourth proportional to 8,904.84, 12,275.46 and 7,639.80 is: 10,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.84 : 12,275.46 = 7,639.80 : x
  2. Step 2: Convert to fraction form
    8,904.84/12,275.46 = 7,639.80/x
  3. Step 3: Cross multiply
    8,904.84x = 12,275.46 × 7,639.80
  4. Step 4: Simplify right side
    8,904.84x = 93,782,059.31
  5. Step 5: Solve for x
    x = 93,782,059.31/8,904.84
  6. Step 6: Final answer
    x = 10,531.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.