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Finding the Fourth Proportional to 9,106.64, 13,678.16 and 8,807.76

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Solution

The fourth proportional to 9,106.64, 13,678.16 and 8,807.76 is: 13,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.64 : 13,678.16 = 8,807.76 : x
  2. Step 2: Convert to fraction form
    9,106.64/13,678.16 = 8,807.76/x
  3. Step 3: Cross multiply
    9,106.64x = 13,678.16 × 8,807.76
  4. Step 4: Simplify right side
    9,106.64x = 120,473,950.52
  5. Step 5: Solve for x
    x = 120,473,950.52/9,106.64
  6. Step 6: Final answer
    x = 13,229.24

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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.