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Finding the Fourth Proportional to 13,386.86, 18,474.93 and 7,419.10

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Solution

The fourth proportional to 13,386.86, 18,474.93 and 7,419.10 is: 10,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.86 : 18,474.93 = 7,419.10 : x
  2. Step 2: Convert to fraction form
    13,386.86/18,474.93 = 7,419.10/x
  3. Step 3: Cross multiply
    13,386.86x = 18,474.93 × 7,419.10
  4. Step 4: Simplify right side
    13,386.86x = 137,067,353.16
  5. Step 5: Solve for x
    x = 137,067,353.16/13,386.86
  6. Step 6: Final answer
    x = 10,238.95

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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.