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Finding the Fourth Proportional to 13,007.60, 19,512.60 and 5,214.80

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Solution

The fourth proportional to 13,007.60, 19,512.60 and 5,214.80 is: 7,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.60 : 19,512.60 = 5,214.80 : x
  2. Step 2: Convert to fraction form
    13,007.60/19,512.60 = 5,214.80/x
  3. Step 3: Cross multiply
    13,007.60x = 19,512.60 × 5,214.80
  4. Step 4: Simplify right side
    13,007.60x = 101,754,306.48
  5. Step 5: Solve for x
    x = 101,754,306.48/13,007.60
  6. Step 6: Final answer
    x = 7,822.68

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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.