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Finding the Fourth Proportional to 1,946.64, 2,921.12 and 776.40

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Solution

The fourth proportional to 1,946.64, 2,921.12 and 776.40 is: 1,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.64 : 2,921.12 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,946.64/2,921.12 = 776.40/x
  3. Step 3: Cross multiply
    1,946.64x = 2,921.12 × 776.40
  4. Step 4: Simplify right side
    1,946.64x = 2,267,957.57
  5. Step 5: Solve for x
    x = 2,267,957.57/1,946.64
  6. Step 6: Final answer
    x = 1,165.06

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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.