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Finding the Fourth Proportional to 13,407, 18,501.66 and 7,439.55

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Solution

The fourth proportional to 13,407, 18,501.66 and 7,439.55 is: 10,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 18,501.66 = 7,439.55 : x
  2. Step 2: Convert to fraction form
    13,407/18,501.66 = 7,439.55/x
  3. Step 3: Cross multiply
    13,407x = 18,501.66 × 7,439.55
  4. Step 4: Simplify right side
    13,407x = 137,644,024.65
  5. Step 5: Solve for x
    x = 137,644,024.65/13,407
  6. Step 6: Final answer
    x = 10,266.58

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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.