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Finding the Fourth Proportional to 8,510.60, 12,774 and 5,230.10

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Solution

The fourth proportional to 8,510.60, 12,774 and 5,230.10 is: 7,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.60 : 12,774 = 5,230.10 : x
  2. Step 2: Convert to fraction form
    8,510.60/12,774 = 5,230.10/x
  3. Step 3: Cross multiply
    8,510.60x = 12,774 × 5,230.10
  4. Step 4: Simplify right side
    8,510.60x = 66,809,297.40
  5. Step 5: Solve for x
    x = 66,809,297.40/8,510.60
  6. Step 6: Final answer
    x = 7,850.13

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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.