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Finding the Fourth Proportional to 1,884.52, 2,825.68 and 651.40

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Solution

The fourth proportional to 1,884.52, 2,825.68 and 651.40 is: 976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.52 : 2,825.68 = 651.40 : x
  2. Step 2: Convert to fraction form
    1,884.52/2,825.68 = 651.40/x
  3. Step 3: Cross multiply
    1,884.52x = 2,825.68 × 651.40
  4. Step 4: Simplify right side
    1,884.52x = 1,840,647.95
  5. Step 5: Solve for x
    x = 1,840,647.95/1,884.52
  6. Step 6: Final answer
    x = 976.72

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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.