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Finding the Fourth Proportional to 8,974.04, 13,485.65 and 8,464.53

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Solution

The fourth proportional to 8,974.04, 13,485.65 and 8,464.53 is: 12,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.04 : 13,485.65 = 8,464.53 : x
  2. Step 2: Convert to fraction form
    8,974.04/13,485.65 = 8,464.53/x
  3. Step 3: Cross multiply
    8,974.04x = 13,485.65 × 8,464.53
  4. Step 4: Simplify right side
    8,974.04x = 114,149,646.67
  5. Step 5: Solve for x
    x = 114,149,646.67/8,974.04
  6. Step 6: Final answer
    x = 12,719.99

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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.