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Finding the Fourth Proportional to 9,818.61, 14,742.69 and 8,446.87

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Solution

The fourth proportional to 9,818.61, 14,742.69 and 8,446.87 is: 12,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.61 : 14,742.69 = 8,446.87 : x
  2. Step 2: Convert to fraction form
    9,818.61/14,742.69 = 8,446.87/x
  3. Step 3: Cross multiply
    9,818.61x = 14,742.69 × 8,446.87
  4. Step 4: Simplify right side
    9,818.61x = 124,529,585.88
  5. Step 5: Solve for x
    x = 124,529,585.88/9,818.61
  6. Step 6: Final answer
    x = 12,683.02

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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.