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Finding the Fourth Proportional to 2,880, 4,322.43 and 1,148.63

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Solution

The fourth proportional to 2,880, 4,322.43 and 1,148.63 is: 1,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880 : 4,322.43 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    2,880/4,322.43 = 1,148.63/x
  3. Step 3: Cross multiply
    2,880x = 4,322.43 × 1,148.63
  4. Step 4: Simplify right side
    2,880x = 4,964,851.16
  5. Step 5: Solve for x
    x = 4,964,851.16/2,880
  6. Step 6: Final answer
    x = 1,723.91

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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.