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Finding the Fourth Proportional to 7,903.48, 10,902.72 and 6,413.08

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Solution

The fourth proportional to 7,903.48, 10,902.72 and 6,413.08 is: 8,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.48 : 10,902.72 = 6,413.08 : x
  2. Step 2: Convert to fraction form
    7,903.48/10,902.72 = 6,413.08/x
  3. Step 3: Cross multiply
    7,903.48x = 10,902.72 × 6,413.08
  4. Step 4: Simplify right side
    7,903.48x = 69,920,015.58
  5. Step 5: Solve for x
    x = 69,920,015.58/7,903.48
  6. Step 6: Final answer
    x = 8,846.74

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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.