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Finding the Fourth Proportional to 8,239.68, 11,368.80 and 5,009.40

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Solution

The fourth proportional to 8,239.68, 11,368.80 and 5,009.40 is: 6,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.68 : 11,368.80 = 5,009.40 : x
  2. Step 2: Convert to fraction form
    8,239.68/11,368.80 = 5,009.40/x
  3. Step 3: Cross multiply
    8,239.68x = 11,368.80 × 5,009.40
  4. Step 4: Simplify right side
    8,239.68x = 56,950,866.72
  5. Step 5: Solve for x
    x = 56,950,866.72/8,239.68
  6. Step 6: Final answer
    x = 6,911.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.