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Finding the Fourth Proportional to 6,909.95, 9,534.03 and 4,220.48

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Solution

The fourth proportional to 6,909.95, 9,534.03 and 4,220.48 is: 5,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.95 : 9,534.03 = 4,220.48 : x
  2. Step 2: Convert to fraction form
    6,909.95/9,534.03 = 4,220.48/x
  3. Step 3: Cross multiply
    6,909.95x = 9,534.03 × 4,220.48
  4. Step 4: Simplify right side
    6,909.95x = 40,238,182.93
  5. Step 5: Solve for x
    x = 40,238,182.93/6,909.95
  6. Step 6: Final answer
    x = 5,823.22

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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.