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Finding the Fourth Proportional to 8,283.66, 12,416.07 and 4,328.82

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Solution

The fourth proportional to 8,283.66, 12,416.07 and 4,328.82 is: 6,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.66 : 12,416.07 = 4,328.82 : x
  2. Step 2: Convert to fraction form
    8,283.66/12,416.07 = 4,328.82/x
  3. Step 3: Cross multiply
    8,283.66x = 12,416.07 × 4,328.82
  4. Step 4: Simplify right side
    8,283.66x = 53,746,932.14
  5. Step 5: Solve for x
    x = 53,746,932.14/8,283.66
  6. Step 6: Final answer
    x = 6,488.31

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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.