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Finding the Fourth Proportional to 5,642.51, 8,463.56 and 1,942.56

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Solution

The fourth proportional to 5,642.51, 8,463.56 and 1,942.56 is: 2,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.51 : 8,463.56 = 1,942.56 : x
  2. Step 2: Convert to fraction form
    5,642.51/8,463.56 = 1,942.56/x
  3. Step 3: Cross multiply
    5,642.51x = 8,463.56 × 1,942.56
  4. Step 4: Simplify right side
    5,642.51x = 16,440,963.40
  5. Step 5: Solve for x
    x = 16,440,963.40/5,642.51
  6. Step 6: Final answer
    x = 2,913.77

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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.