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Finding the Fourth Proportional to 12,464.10, 18,703.92 and 8,307.02

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Solution

The fourth proportional to 12,464.10, 18,703.92 and 8,307.02 is: 12,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.10 : 18,703.92 = 8,307.02 : x
  2. Step 2: Convert to fraction form
    12,464.10/18,703.92 = 8,307.02/x
  3. Step 3: Cross multiply
    12,464.10x = 18,703.92 × 8,307.02
  4. Step 4: Simplify right side
    12,464.10x = 155,373,837.52
  5. Step 5: Solve for x
    x = 155,373,837.52/12,464.10
  6. Step 6: Final answer
    x = 12,465.71

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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.