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Finding the Fourth Proportional to 8,681.69, 11,980.70 and 4,702.81

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Solution

The fourth proportional to 8,681.69, 11,980.70 and 4,702.81 is: 6,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.69 : 11,980.70 = 4,702.81 : x
  2. Step 2: Convert to fraction form
    8,681.69/11,980.70 = 4,702.81/x
  3. Step 3: Cross multiply
    8,681.69x = 11,980.70 × 4,702.81
  4. Step 4: Simplify right side
    8,681.69x = 56,342,932.25
  5. Step 5: Solve for x
    x = 56,342,932.25/8,681.69
  6. Step 6: Final answer
    x = 6,489.86

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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.