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Finding the Fourth Proportional to 13,752.79, 18,978.30 and 7,785.69

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Solution

The fourth proportional to 13,752.79, 18,978.30 and 7,785.69 is: 10,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.79 : 18,978.30 = 7,785.69 : x
  2. Step 2: Convert to fraction form
    13,752.79/18,978.30 = 7,785.69/x
  3. Step 3: Cross multiply
    13,752.79x = 18,978.30 × 7,785.69
  4. Step 4: Simplify right side
    13,752.79x = 147,759,249.49
  5. Step 5: Solve for x
    x = 147,759,249.49/13,752.79
  6. Step 6: Final answer
    x = 10,743.95

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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.