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Finding the Fourth Proportional to 8,312.32, 12,468.16 and 2,072.32

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Solution

The fourth proportional to 8,312.32, 12,468.16 and 2,072.32 is: 3,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.32 : 12,468.16 = 2,072.32 : x
  2. Step 2: Convert to fraction form
    8,312.32/12,468.16 = 2,072.32/x
  3. Step 3: Cross multiply
    8,312.32x = 12,468.16 × 2,072.32
  4. Step 4: Simplify right side
    8,312.32x = 25,838,017.33
  5. Step 5: Solve for x
    x = 25,838,017.33/8,312.32
  6. Step 6: Final answer
    x = 3,108.40

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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.