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Finding the Fourth Proportional to 13,014.81, 17,962.07 and 7,711.65

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Solution

The fourth proportional to 13,014.81, 17,962.07 and 7,711.65 is: 10,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.81 : 17,962.07 = 7,711.65 : x
  2. Step 2: Convert to fraction form
    13,014.81/17,962.07 = 7,711.65/x
  3. Step 3: Cross multiply
    13,014.81x = 17,962.07 × 7,711.65
  4. Step 4: Simplify right side
    13,014.81x = 138,517,158.56
  5. Step 5: Solve for x
    x = 138,517,158.56/13,014.81
  6. Step 6: Final answer
    x = 10,643.04

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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.