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Finding the Fourth Proportional to 10,113, 13,955.94 and 5,697

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Solution

The fourth proportional to 10,113, 13,955.94 and 5,697 is: 7,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 13,955.94 = 5,697 : x
  2. Step 2: Convert to fraction form
    10,113/13,955.94 = 5,697/x
  3. Step 3: Cross multiply
    10,113x = 13,955.94 × 5,697
  4. Step 4: Simplify right side
    10,113x = 79,506,990.18
  5. Step 5: Solve for x
    x = 79,506,990.18/10,113
  6. Step 6: Final answer
    x = 7,861.86

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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.