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Finding the Fourth Proportional to 2,397.51, 3,596.43 and 642.51

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Solution

The fourth proportional to 2,397.51, 3,596.43 and 642.51 is: 963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.51 : 3,596.43 = 642.51 : x
  2. Step 2: Convert to fraction form
    2,397.51/3,596.43 = 642.51/x
  3. Step 3: Cross multiply
    2,397.51x = 3,596.43 × 642.51
  4. Step 4: Simplify right side
    2,397.51x = 2,310,742.24
  5. Step 5: Solve for x
    x = 2,310,742.24/2,397.51
  6. Step 6: Final answer
    x = 963.81

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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.