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Finding the Fourth Proportional to 9,205.30, 13,807.95 and 8,111.80

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Solution

The fourth proportional to 9,205.30, 13,807.95 and 8,111.80 is: 12,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.30 : 13,807.95 = 8,111.80 : x
  2. Step 2: Convert to fraction form
    9,205.30/13,807.95 = 8,111.80/x
  3. Step 3: Cross multiply
    9,205.30x = 13,807.95 × 8,111.80
  4. Step 4: Simplify right side
    9,205.30x = 112,007,328.81
  5. Step 5: Solve for x
    x = 112,007,328.81/9,205.30
  6. Step 6: Final answer
    x = 12,167.70

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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.