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Finding the Fourth Proportional to 5,737.95, 7,918.29 and 3,220.65

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Solution

The fourth proportional to 5,737.95, 7,918.29 and 3,220.65 is: 4,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.95 : 7,918.29 = 3,220.65 : x
  2. Step 2: Convert to fraction form
    5,737.95/7,918.29 = 3,220.65/x
  3. Step 3: Cross multiply
    5,737.95x = 7,918.29 × 3,220.65
  4. Step 4: Simplify right side
    5,737.95x = 25,502,040.69
  5. Step 5: Solve for x
    x = 25,502,040.69/5,737.95
  6. Step 6: Final answer
    x = 4,444.45

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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.