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Finding the Fourth Proportional to 8,383.80, 12,637.65 and 7,807.80

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Solution

The fourth proportional to 8,383.80, 12,637.65 and 7,807.80 is: 11,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.80 : 12,637.65 = 7,807.80 : x
  2. Step 2: Convert to fraction form
    8,383.80/12,637.65 = 7,807.80/x
  3. Step 3: Cross multiply
    8,383.80x = 12,637.65 × 7,807.80
  4. Step 4: Simplify right side
    8,383.80x = 98,672,243.67
  5. Step 5: Solve for x
    x = 98,672,243.67/8,383.80
  6. Step 6: Final answer
    x = 11,769.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.