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Finding the Fourth Proportional to 2,903.61, 4,347.72 and 1,977.78

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Solution

The fourth proportional to 2,903.61, 4,347.72 and 1,977.78 is: 2,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.61 : 4,347.72 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    2,903.61/4,347.72 = 1,977.78/x
  3. Step 3: Cross multiply
    2,903.61x = 4,347.72 × 1,977.78
  4. Step 4: Simplify right side
    2,903.61x = 8,598,833.66
  5. Step 5: Solve for x
    x = 8,598,833.66/2,903.61
  6. Step 6: Final answer
    x = 2,961.43

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1.5x scale

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.