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Finding the Fourth Proportional to 1,964.16, 2,946.34 and 778.21

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Solution

The fourth proportional to 1,964.16, 2,946.34 and 778.21 is: 1,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.16 : 2,946.34 = 778.21 : x
  2. Step 2: Convert to fraction form
    1,964.16/2,946.34 = 778.21/x
  3. Step 3: Cross multiply
    1,964.16x = 2,946.34 × 778.21
  4. Step 4: Simplify right side
    1,964.16x = 2,292,864.86
  5. Step 5: Solve for x
    x = 2,292,864.86/1,964.16
  6. Step 6: Final answer
    x = 1,167.35

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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.