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Finding the Fourth Proportional to 1,856.64, 2,784.36 and 761.40

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Solution

The fourth proportional to 1,856.64, 2,784.36 and 761.40 is: 1,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.64 : 2,784.36 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,856.64/2,784.36 = 761.40/x
  3. Step 3: Cross multiply
    1,856.64x = 2,784.36 × 761.40
  4. Step 4: Simplify right side
    1,856.64x = 2,120,011.70
  5. Step 5: Solve for x
    x = 2,120,011.70/1,856.64
  6. Step 6: Final answer
    x = 1,141.85

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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.