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Finding the Fourth Proportional to 10,339.80, 15,509.70 and 3,413.40

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Solution

The fourth proportional to 10,339.80, 15,509.70 and 3,413.40 is: 5,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.80 : 15,509.70 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    10,339.80/15,509.70 = 3,413.40/x
  3. Step 3: Cross multiply
    10,339.80x = 15,509.70 × 3,413.40
  4. Step 4: Simplify right side
    10,339.80x = 52,940,809.98
  5. Step 5: Solve for x
    x = 52,940,809.98/10,339.80
  6. Step 6: Final answer
    x = 5,120.10

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1.5x scale

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.