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Finding the Fourth Proportional to 10,274.28, 14,153.91 and 9,774

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Solution

The fourth proportional to 10,274.28, 14,153.91 and 9,774 is: 13,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.28 : 14,153.91 = 9,774 : x
  2. Step 2: Convert to fraction form
    10,274.28/14,153.91 = 9,774/x
  3. Step 3: Cross multiply
    10,274.28x = 14,153.91 × 9,774
  4. Step 4: Simplify right side
    10,274.28x = 138,340,316.34
  5. Step 5: Solve for x
    x = 138,340,316.34/10,274.28
  6. Step 6: Final answer
    x = 13,464.72

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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.