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Finding the Fourth Proportional to 2,937, 4,053.12 and 1,889.64

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Solution

The fourth proportional to 2,937, 4,053.12 and 1,889.64 is: 2,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937 : 4,053.12 = 1,889.64 : x
  2. Step 2: Convert to fraction form
    2,937/4,053.12 = 1,889.64/x
  3. Step 3: Cross multiply
    2,937x = 4,053.12 × 1,889.64
  4. Step 4: Simplify right side
    2,937x = 7,658,937.68
  5. Step 5: Solve for x
    x = 7,658,937.68/2,937
  6. Step 6: Final answer
    x = 2,607.74

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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.