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Finding the Fourth Proportional to 13,789, 19,029.80 and 7,821.18

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Solution

The fourth proportional to 13,789, 19,029.80 and 7,821.18 is: 10,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789 : 19,029.80 = 7,821.18 : x
  2. Step 2: Convert to fraction form
    13,789/19,029.80 = 7,821.18/x
  3. Step 3: Cross multiply
    13,789x = 19,029.80 × 7,821.18
  4. Step 4: Simplify right side
    13,789x = 148,835,491.16
  5. Step 5: Solve for x
    x = 148,835,491.16/13,789
  6. Step 6: Final answer
    x = 10,793.78

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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.