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Finding the Fourth Proportional to 1,931, 2,898.52 and 1,384.24

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Solution

The fourth proportional to 1,931, 2,898.52 and 1,384.24 is: 2,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931 : 2,898.52 = 1,384.24 : x
  2. Step 2: Convert to fraction form
    1,931/2,898.52 = 1,384.24/x
  3. Step 3: Cross multiply
    1,931x = 2,898.52 × 1,384.24
  4. Step 4: Simplify right side
    1,931x = 4,012,247.32
  5. Step 5: Solve for x
    x = 4,012,247.32/1,931
  6. Step 6: Final answer
    x = 2,077.81

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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.