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Finding the Fourth Proportional to 8,307.83, 12,396.65 and 8,259.23

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Solution

The fourth proportional to 8,307.83, 12,396.65 and 8,259.23 is: 12,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.83 : 12,396.65 = 8,259.23 : x
  2. Step 2: Convert to fraction form
    8,307.83/12,396.65 = 8,259.23/x
  3. Step 3: Cross multiply
    8,307.83x = 12,396.65 × 8,259.23
  4. Step 4: Simplify right side
    8,307.83x = 102,386,680.30
  5. Step 5: Solve for x
    x = 102,386,680.30/8,307.83
  6. Step 6: Final answer
    x = 12,324.13

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.