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Finding the Fourth Proportional to 10,413.68, 15,622.92 and 3,488

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Solution

The fourth proportional to 10,413.68, 15,622.92 and 3,488 is: 5,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.68 : 15,622.92 = 3,488 : x
  2. Step 2: Convert to fraction form
    10,413.68/15,622.92 = 3,488/x
  3. Step 3: Cross multiply
    10,413.68x = 15,622.92 × 3,488
  4. Step 4: Simplify right side
    10,413.68x = 54,492,744.96
  5. Step 5: Solve for x
    x = 54,492,744.96/10,413.68
  6. Step 6: Final answer
    x = 5,232.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.