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Finding the Fourth Proportional to 8,120, 11,199.69 and 6,210.13

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Solution

The fourth proportional to 8,120, 11,199.69 and 6,210.13 is: 8,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 11,199.69 = 6,210.13 : x
  2. Step 2: Convert to fraction form
    8,120/11,199.69 = 6,210.13/x
  3. Step 3: Cross multiply
    8,120x = 11,199.69 × 6,210.13
  4. Step 4: Simplify right side
    8,120x = 69,551,530.86
  5. Step 5: Solve for x
    x = 69,551,530.86/8,120
  6. Step 6: Final answer
    x = 8,565.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.