Home / 8,215.80-12,312.36-7,827

Finding the Fourth Proportional to 8,215.80, 12,312.36 and 7,827

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Solution

The fourth proportional to 8,215.80, 12,312.36 and 7,827 is: 11,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.80 : 12,312.36 = 7,827 : x
  2. Step 2: Convert to fraction form
    8,215.80/12,312.36 = 7,827/x
  3. Step 3: Cross multiply
    8,215.80x = 12,312.36 × 7,827
  4. Step 4: Simplify right side
    8,215.80x = 96,368,841.72
  5. Step 5: Solve for x
    x = 96,368,841.72/8,215.80
  6. Step 6: Final answer
    x = 11,729.70

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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.