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Finding the Fourth Proportional to 7,482.42, 10,323.21 and 4,648.78

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Solution

The fourth proportional to 7,482.42, 10,323.21 and 4,648.78 is: 6,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.42 : 10,323.21 = 4,648.78 : x
  2. Step 2: Convert to fraction form
    7,482.42/10,323.21 = 4,648.78/x
  3. Step 3: Cross multiply
    7,482.42x = 10,323.21 × 4,648.78
  4. Step 4: Simplify right side
    7,482.42x = 47,990,332.18
  5. Step 5: Solve for x
    x = 47,990,332.18/7,482.42
  6. Step 6: Final answer
    x = 6,413.74

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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.