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Finding the Fourth Proportional to 10,347.84, 14,296.72 and 7,218

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Solution

The fourth proportional to 10,347.84, 14,296.72 and 7,218 is: 9,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.84 : 14,296.72 = 7,218 : x
  2. Step 2: Convert to fraction form
    10,347.84/14,296.72 = 7,218/x
  3. Step 3: Cross multiply
    10,347.84x = 14,296.72 × 7,218
  4. Step 4: Simplify right side
    10,347.84x = 103,193,724.96
  5. Step 5: Solve for x
    x = 103,193,724.96/10,347.84
  6. Step 6: Final answer
    x = 9,972.49

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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.