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Finding the Fourth Proportional to 9,271.84, 12,766.80 and 8,528.80

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Solution

The fourth proportional to 9,271.84, 12,766.80 and 8,528.80 is: 11,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.84 : 12,766.80 = 8,528.80 : x
  2. Step 2: Convert to fraction form
    9,271.84/12,766.80 = 8,528.80/x
  3. Step 3: Cross multiply
    9,271.84x = 12,766.80 × 8,528.80
  4. Step 4: Simplify right side
    9,271.84x = 108,885,483.84
  5. Step 5: Solve for x
    x = 108,885,483.84/9,271.84
  6. Step 6: Final answer
    x = 11,743.68

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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.