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Finding the Fourth Proportional to 2,903.61, 4,007.00 and 1,577.33

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Solution

The fourth proportional to 2,903.61, 4,007.00 and 1,577.33 is: 2,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.61 : 4,007.00 = 1,577.33 : x
  2. Step 2: Convert to fraction form
    2,903.61/4,007.00 = 1,577.33/x
  3. Step 3: Cross multiply
    2,903.61x = 4,007.00 × 1,577.33
  4. Step 4: Simplify right side
    2,903.61x = 6,320,333.39
  5. Step 5: Solve for x
    x = 6,320,333.39/2,903.61
  6. Step 6: Final answer
    x = 2,176.72

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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.