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Finding the Fourth Proportional to 12,584.70, 18,877.05 and 7,651.80

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Solution

The fourth proportional to 12,584.70, 18,877.05 and 7,651.80 is: 11,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.70 : 18,877.05 = 7,651.80 : x
  2. Step 2: Convert to fraction form
    12,584.70/18,877.05 = 7,651.80/x
  3. Step 3: Cross multiply
    12,584.70x = 18,877.05 × 7,651.80
  4. Step 4: Simplify right side
    12,584.70x = 144,443,411.19
  5. Step 5: Solve for x
    x = 144,443,411.19/12,584.70
  6. Step 6: Final answer
    x = 11,477.70

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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.