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Finding the Fourth Proportional to 8,657.78, 12,986.64 and 2,417.94

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Solution

The fourth proportional to 8,657.78, 12,986.64 and 2,417.94 is: 3,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.78 : 12,986.64 = 2,417.94 : x
  2. Step 2: Convert to fraction form
    8,657.78/12,986.64 = 2,417.94/x
  3. Step 3: Cross multiply
    8,657.78x = 12,986.64 × 2,417.94
  4. Step 4: Simplify right side
    8,657.78x = 31,400,916.32
  5. Step 5: Solve for x
    x = 31,400,916.32/8,657.78
  6. Step 6: Final answer
    x = 3,626.90

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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.