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Finding the Fourth Proportional to 13,640.00, 18,821.66 and 7,671.53

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Solution

The fourth proportional to 13,640.00, 18,821.66 and 7,671.53 is: 10,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.00 : 18,821.66 = 7,671.53 : x
  2. Step 2: Convert to fraction form
    13,640.00/18,821.66 = 7,671.53/x
  3. Step 3: Cross multiply
    13,640.00x = 18,821.66 × 7,671.53
  4. Step 4: Simplify right side
    13,640.00x = 144,390,995.57
  5. Step 5: Solve for x
    x = 144,390,995.57/13,640.00
  6. Step 6: Final answer
    x = 10,585.85

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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.