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Finding the Fourth Proportional to 8,681.65, 11,980.63 and 4,702.77

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Solution

The fourth proportional to 8,681.65, 11,980.63 and 4,702.77 is: 6,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.65 : 11,980.63 = 4,702.77 : x
  2. Step 2: Convert to fraction form
    8,681.65/11,980.63 = 4,702.77/x
  3. Step 3: Cross multiply
    8,681.65x = 11,980.63 × 4,702.77
  4. Step 4: Simplify right side
    8,681.65x = 56,342,183.30
  5. Step 5: Solve for x
    x = 56,342,183.30/8,681.65
  6. Step 6: Final answer
    x = 6,489.80

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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.