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Finding the Fourth Proportional to 10,117.17, 13,960.95 and 5,641.17

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Solution

The fourth proportional to 10,117.17, 13,960.95 and 5,641.17 is: 7,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.17 : 13,960.95 = 5,641.17 : x
  2. Step 2: Convert to fraction form
    10,117.17/13,960.95 = 5,641.17/x
  3. Step 3: Cross multiply
    10,117.17x = 13,960.95 × 5,641.17
  4. Step 4: Simplify right side
    10,117.17x = 78,756,092.31
  5. Step 5: Solve for x
    x = 78,756,092.31/10,117.17
  6. Step 6: Final answer
    x = 7,784.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.