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Finding the Fourth Proportional to 1,856.35, 2,784.71 and 686.67

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Solution

The fourth proportional to 1,856.35, 2,784.71 and 686.67 is: 1,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.35 : 2,784.71 = 686.67 : x
  2. Step 2: Convert to fraction form
    1,856.35/2,784.71 = 686.67/x
  3. Step 3: Cross multiply
    1,856.35x = 2,784.71 × 686.67
  4. Step 4: Simplify right side
    1,856.35x = 1,912,176.82
  5. Step 5: Solve for x
    x = 1,912,176.82/1,856.35
  6. Step 6: Final answer
    x = 1,030.07

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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.