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Finding the Fourth Proportional to 9,774, 13,488.12 and 5,358

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Solution

The fourth proportional to 9,774, 13,488.12 and 5,358 is: 7,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 13,488.12 = 5,358 : x
  2. Step 2: Convert to fraction form
    9,774/13,488.12 = 5,358/x
  3. Step 3: Cross multiply
    9,774x = 13,488.12 × 5,358
  4. Step 4: Simplify right side
    9,774x = 72,269,346.96
  5. Step 5: Solve for x
    x = 72,269,346.96/9,774
  6. Step 6: Final answer
    x = 7,394.04

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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.