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Finding the Fourth Proportional to 13,014.40, 17,960 and 7,908.48

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Solution

The fourth proportional to 13,014.40, 17,960 and 7,908.48 is: 10,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.40 : 17,960 = 7,908.48 : x
  2. Step 2: Convert to fraction form
    13,014.40/17,960 = 7,908.48/x
  3. Step 3: Cross multiply
    13,014.40x = 17,960 × 7,908.48
  4. Step 4: Simplify right side
    13,014.40x = 142,036,300.80
  5. Step 5: Solve for x
    x = 142,036,300.80/13,014.40
  6. Step 6: Final answer
    x = 10,913.78

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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.