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Finding the Fourth Proportional to 7,702.71, 11,548.86 and 3,019.80

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Solution

The fourth proportional to 7,702.71, 11,548.86 and 3,019.80 is: 4,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.71 : 11,548.86 = 3,019.80 : x
  2. Step 2: Convert to fraction form
    7,702.71/11,548.86 = 3,019.80/x
  3. Step 3: Cross multiply
    7,702.71x = 11,548.86 × 3,019.80
  4. Step 4: Simplify right side
    7,702.71x = 34,875,247.43
  5. Step 5: Solve for x
    x = 34,875,247.43/7,702.71
  6. Step 6: Final answer
    x = 4,527.66

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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.