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Finding the Fourth Proportional to 11,399.68, 15,719.16 and 7,413.40

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Solution

The fourth proportional to 11,399.68, 15,719.16 and 7,413.40 is: 10,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.68 : 15,719.16 = 7,413.40 : x
  2. Step 2: Convert to fraction form
    11,399.68/15,719.16 = 7,413.40/x
  3. Step 3: Cross multiply
    11,399.68x = 15,719.16 × 7,413.40
  4. Step 4: Simplify right side
    11,399.68x = 116,532,420.74
  5. Step 5: Solve for x
    x = 116,532,420.74/11,399.68
  6. Step 6: Final answer
    x = 10,222.43

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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.