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Finding the Fourth Proportional to 2,858.61, 4,277.13 and 1,689.24

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Solution

The fourth proportional to 2,858.61, 4,277.13 and 1,689.24 is: 2,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.61 : 4,277.13 = 1,689.24 : x
  2. Step 2: Convert to fraction form
    2,858.61/4,277.13 = 1,689.24/x
  3. Step 3: Cross multiply
    2,858.61x = 4,277.13 × 1,689.24
  4. Step 4: Simplify right side
    2,858.61x = 7,225,099.08
  5. Step 5: Solve for x
    x = 7,225,099.08/2,858.61
  6. Step 6: Final answer
    x = 2,527.49

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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.