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Finding the Fourth Proportional to 1,946.52, 2,920.01 and 1,215.50

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Solution

The fourth proportional to 1,946.52, 2,920.01 and 1,215.50 is: 1,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.52 : 2,920.01 = 1,215.50 : x
  2. Step 2: Convert to fraction form
    1,946.52/2,920.01 = 1,215.50/x
  3. Step 3: Cross multiply
    1,946.52x = 2,920.01 × 1,215.50
  4. Step 4: Simplify right side
    1,946.52x = 3,549,251.48
  5. Step 5: Solve for x
    x = 3,549,251.48/1,946.52
  6. Step 6: Final answer
    x = 1,823.38

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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.