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Finding the Fourth Proportional to 8,309.36, 12,464.04 and 7,802.48

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Solution

The fourth proportional to 8,309.36, 12,464.04 and 7,802.48 is: 11,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.36 : 12,464.04 = 7,802.48 : x
  2. Step 2: Convert to fraction form
    8,309.36/12,464.04 = 7,802.48/x
  3. Step 3: Cross multiply
    8,309.36x = 12,464.04 × 7,802.48
  4. Step 4: Simplify right side
    8,309.36x = 97,250,422.82
  5. Step 5: Solve for x
    x = 97,250,422.82/8,309.36
  6. Step 6: Final answer
    x = 11,703.72

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Similar ratio
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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.