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Finding the Fourth Proportional to 8,172.81, 11,265 and 5,779.70

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Solution

The fourth proportional to 8,172.81, 11,265 and 5,779.70 is: 7,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.81 : 11,265 = 5,779.70 : x
  2. Step 2: Convert to fraction form
    8,172.81/11,265 = 5,779.70/x
  3. Step 3: Cross multiply
    8,172.81x = 11,265 × 5,779.70
  4. Step 4: Simplify right side
    8,172.81x = 65,108,264.18
  5. Step 5: Solve for x
    x = 65,108,264.18/8,172.81
  6. Step 6: Final answer
    x = 7,966.45

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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.