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Finding the Fourth Proportional to 9,492.88, 13,100.38 and 5,301.12

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Solution

The fourth proportional to 9,492.88, 13,100.38 and 5,301.12 is: 7,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.88 : 13,100.38 = 5,301.12 : x
  2. Step 2: Convert to fraction form
    9,492.88/13,100.38 = 5,301.12/x
  3. Step 3: Cross multiply
    9,492.88x = 13,100.38 × 5,301.12
  4. Step 4: Simplify right side
    9,492.88x = 69,446,686.43
  5. Step 5: Solve for x
    x = 69,446,686.43/9,492.88
  6. Step 6: Final answer
    x = 7,315.66

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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.