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Finding the Fourth Proportional to 3,868.88, 5,803.29 and 947.16

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Solution

The fourth proportional to 3,868.88, 5,803.29 and 947.16 is: 1,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.88 : 5,803.29 = 947.16 : x
  2. Step 2: Convert to fraction form
    3,868.88/5,803.29 = 947.16/x
  3. Step 3: Cross multiply
    3,868.88x = 5,803.29 × 947.16
  4. Step 4: Simplify right side
    3,868.88x = 5,496,644.16
  5. Step 5: Solve for x
    x = 5,496,644.16/3,868.88
  6. Step 6: Final answer
    x = 1,420.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.