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Finding the Fourth Proportional to 8,510.10, 12,765.15 and 3,312.60

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Solution

The fourth proportional to 8,510.10, 12,765.15 and 3,312.60 is: 4,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.10 : 12,765.15 = 3,312.60 : x
  2. Step 2: Convert to fraction form
    8,510.10/12,765.15 = 3,312.60/x
  3. Step 3: Cross multiply
    8,510.10x = 12,765.15 × 3,312.60
  4. Step 4: Simplify right side
    8,510.10x = 42,285,835.89
  5. Step 5: Solve for x
    x = 42,285,835.89/8,510.10
  6. Step 6: Final answer
    x = 4,968.90

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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.