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Finding the Fourth Proportional to 11,317.95, 15,624.95 and 7,738.29

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Solution

The fourth proportional to 11,317.95, 15,624.95 and 7,738.29 is: 10,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.95 : 15,624.95 = 7,738.29 : x
  2. Step 2: Convert to fraction form
    11,317.95/15,624.95 = 7,738.29/x
  3. Step 3: Cross multiply
    11,317.95x = 15,624.95 × 7,738.29
  4. Step 4: Simplify right side
    11,317.95x = 120,910,394.34
  5. Step 5: Solve for x
    x = 120,910,394.34/11,317.95
  6. Step 6: Final answer
    x = 10,683.06

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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.