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Finding the Fourth Proportional to 3,384.02, 5,076 and 918.84

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Solution

The fourth proportional to 3,384.02, 5,076 and 918.84 is: 1,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.02 : 5,076 = 918.84 : x
  2. Step 2: Convert to fraction form
    3,384.02/5,076 = 918.84/x
  3. Step 3: Cross multiply
    3,384.02x = 5,076 × 918.84
  4. Step 4: Simplify right side
    3,384.02x = 4,664,031.84
  5. Step 5: Solve for x
    x = 4,664,031.84/3,384.02
  6. Step 6: Final answer
    x = 1,378.25

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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.