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Finding the Fourth Proportional to 2,148.64, 2,964 and 1,623.76

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Solution

The fourth proportional to 2,148.64, 2,964 and 1,623.76 is: 2,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.64 : 2,964 = 1,623.76 : x
  2. Step 2: Convert to fraction form
    2,148.64/2,964 = 1,623.76/x
  3. Step 3: Cross multiply
    2,148.64x = 2,964 × 1,623.76
  4. Step 4: Simplify right side
    2,148.64x = 4,812,824.64
  5. Step 5: Solve for x
    x = 4,812,824.64/2,148.64
  6. Step 6: Final answer
    x = 2,239.94

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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.