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Finding the Fourth Proportional to 2,964.32, 4,089.36 and 1,916

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Solution

The fourth proportional to 2,964.32, 4,089.36 and 1,916 is: 2,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.32 : 4,089.36 = 1,916 : x
  2. Step 2: Convert to fraction form
    2,964.32/4,089.36 = 1,916/x
  3. Step 3: Cross multiply
    2,964.32x = 4,089.36 × 1,916
  4. Step 4: Simplify right side
    2,964.32x = 7,835,213.76
  5. Step 5: Solve for x
    x = 7,835,213.76/2,964.32
  6. Step 6: Final answer
    x = 2,643.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.