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Finding the Fourth Proportional to 2,124.65, 3,186.84 and 954.35

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Solution

The fourth proportional to 2,124.65, 3,186.84 and 954.35 is: 1,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.65 : 3,186.84 = 954.35 : x
  2. Step 2: Convert to fraction form
    2,124.65/3,186.84 = 954.35/x
  3. Step 3: Cross multiply
    2,124.65x = 3,186.84 × 954.35
  4. Step 4: Simplify right side
    2,124.65x = 3,041,344.82
  5. Step 5: Solve for x
    x = 3,041,344.82/2,124.65
  6. Step 6: Final answer
    x = 1,431.46

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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.