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Finding the Fourth Proportional to 6,473.16, 9,709.90 and 1,856.20

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Solution

The fourth proportional to 6,473.16, 9,709.90 and 1,856.20 is: 2,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.16 : 9,709.90 = 1,856.20 : x
  2. Step 2: Convert to fraction form
    6,473.16/9,709.90 = 1,856.20/x
  3. Step 3: Cross multiply
    6,473.16x = 9,709.90 × 1,856.20
  4. Step 4: Simplify right side
    6,473.16x = 18,023,516.38
  5. Step 5: Solve for x
    x = 18,023,516.38/6,473.16
  6. Step 6: Final answer
    x = 2,784.35

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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.