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Finding the Fourth Proportional to 9,011.68, 13,492.86 and 6,813.88

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Solution

The fourth proportional to 9,011.68, 13,492.86 and 6,813.88 is: 10,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.68 : 13,492.86 = 6,813.88 : x
  2. Step 2: Convert to fraction form
    9,011.68/13,492.86 = 6,813.88/x
  3. Step 3: Cross multiply
    9,011.68x = 13,492.86 × 6,813.88
  4. Step 4: Simplify right side
    9,011.68x = 91,938,728.90
  5. Step 5: Solve for x
    x = 91,938,728.90/9,011.68
  6. Step 6: Final answer
    x = 10,202.17

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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.