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Finding the Fourth Proportional to 8,509.29, 12,750.76 and 4,343.46

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Solution

The fourth proportional to 8,509.29, 12,750.76 and 4,343.46 is: 6,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.29 : 12,750.76 = 4,343.46 : x
  2. Step 2: Convert to fraction form
    8,509.29/12,750.76 = 4,343.46/x
  3. Step 3: Cross multiply
    8,509.29x = 12,750.76 × 4,343.46
  4. Step 4: Simplify right side
    8,509.29x = 55,382,416.03
  5. Step 5: Solve for x
    x = 55,382,416.03/8,509.29
  6. Step 6: Final answer
    x = 6,508.46

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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.