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Finding the Fourth Proportional to 9,354.81, 12,926.75 and 8,899.23

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Solution

The fourth proportional to 9,354.81, 12,926.75 and 8,899.23 is: 12,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.81 : 12,926.75 = 8,899.23 : x
  2. Step 2: Convert to fraction form
    9,354.81/12,926.75 = 8,899.23/x
  3. Step 3: Cross multiply
    9,354.81x = 12,926.75 × 8,899.23
  4. Step 4: Simplify right side
    9,354.81x = 115,038,121.40
  5. Step 5: Solve for x
    x = 115,038,121.40/9,354.81
  6. Step 6: Final answer
    x = 12,297.22

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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.