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Finding the Fourth Proportional to 8,444.50, 12,666.76 and 2,288.50

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Solution

The fourth proportional to 8,444.50, 12,666.76 and 2,288.50 is: 3,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.50 : 12,666.76 = 2,288.50 : x
  2. Step 2: Convert to fraction form
    8,444.50/12,666.76 = 2,288.50/x
  3. Step 3: Cross multiply
    8,444.50x = 12,666.76 × 2,288.50
  4. Step 4: Simplify right side
    8,444.50x = 28,987,880.26
  5. Step 5: Solve for x
    x = 28,987,880.26/8,444.50
  6. Step 6: Final answer
    x = 3,432.75

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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.