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Finding the Fourth Proportional to 6,473.89, 9,710.82 and 1,856.89

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Solution

The fourth proportional to 6,473.89, 9,710.82 and 1,856.89 is: 2,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.89 : 9,710.82 = 1,856.89 : x
  2. Step 2: Convert to fraction form
    6,473.89/9,710.82 = 1,856.89/x
  3. Step 3: Cross multiply
    6,473.89x = 9,710.82 × 1,856.89
  4. Step 4: Simplify right side
    6,473.89x = 18,031,924.55
  5. Step 5: Solve for x
    x = 18,031,924.55/6,473.89
  6. Step 6: Final answer
    x = 2,785.33

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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.