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Finding the Fourth Proportional to 6,865.51, 9,478.08 and 5,370.25

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Solution

The fourth proportional to 6,865.51, 9,478.08 and 5,370.25 is: 7,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.51 : 9,478.08 = 5,370.25 : x
  2. Step 2: Convert to fraction form
    6,865.51/9,478.08 = 5,370.25/x
  3. Step 3: Cross multiply
    6,865.51x = 9,478.08 × 5,370.25
  4. Step 4: Simplify right side
    6,865.51x = 50,899,659.12
  5. Step 5: Solve for x
    x = 50,899,659.12/6,865.51
  6. Step 6: Final answer
    x = 7,413.82

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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.