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Finding the Fourth Proportional to 8,681.63, 13,039.92 and 5,178.48

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Solution

The fourth proportional to 8,681.63, 13,039.92 and 5,178.48 is: 7,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.63 : 13,039.92 = 5,178.48 : x
  2. Step 2: Convert to fraction form
    8,681.63/13,039.92 = 5,178.48/x
  3. Step 3: Cross multiply
    8,681.63x = 13,039.92 × 5,178.48
  4. Step 4: Simplify right side
    8,681.63x = 67,526,916.02
  5. Step 5: Solve for x
    x = 67,526,916.02/8,681.63
  6. Step 6: Final answer
    x = 7,778.14

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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.