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Finding the Fourth Proportional to 8,644.98, 12,970.20 and 3,098.18

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Solution

The fourth proportional to 8,644.98, 12,970.20 and 3,098.18 is: 4,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.98 : 12,970.20 = 3,098.18 : x
  2. Step 2: Convert to fraction form
    8,644.98/12,970.20 = 3,098.18/x
  3. Step 3: Cross multiply
    8,644.98x = 12,970.20 × 3,098.18
  4. Step 4: Simplify right side
    8,644.98x = 40,184,014.24
  5. Step 5: Solve for x
    x = 40,184,014.24/8,644.98
  6. Step 6: Final answer
    x = 4,648.25

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1.5x scale

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.