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Finding the Fourth Proportional to 3,124.94, 4,687.29 and 784.96

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Solution

The fourth proportional to 3,124.94, 4,687.29 and 784.96 is: 1,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.94 : 4,687.29 = 784.96 : x
  2. Step 2: Convert to fraction form
    3,124.94/4,687.29 = 784.96/x
  3. Step 3: Cross multiply
    3,124.94x = 4,687.29 × 784.96
  4. Step 4: Simplify right side
    3,124.94x = 3,679,331.23
  5. Step 5: Solve for x
    x = 3,679,331.23/3,124.94
  6. Step 6: Final answer
    x = 1,177.41

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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.