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Finding the Fourth Proportional to 3,868.78, 5,803.12 and 947.11

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Solution

The fourth proportional to 3,868.78, 5,803.12 and 947.11 is: 1,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.78 : 5,803.12 = 947.11 : x
  2. Step 2: Convert to fraction form
    3,868.78/5,803.12 = 947.11/x
  3. Step 3: Cross multiply
    3,868.78x = 5,803.12 × 947.11
  4. Step 4: Simplify right side
    3,868.78x = 5,496,192.98
  5. Step 5: Solve for x
    x = 5,496,192.98/3,868.78
  6. Step 6: Final answer
    x = 1,420.65

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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.