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Finding the Fourth Proportional to 9,774.72, 13,469.76 and 6,413.76

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Solution

The fourth proportional to 9,774.72, 13,469.76 and 6,413.76 is: 8,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.72 : 13,469.76 = 6,413.76 : x
  2. Step 2: Convert to fraction form
    9,774.72/13,469.76 = 6,413.76/x
  3. Step 3: Cross multiply
    9,774.72x = 13,469.76 × 6,413.76
  4. Step 4: Simplify right side
    9,774.72x = 86,391,807.90
  5. Step 5: Solve for x
    x = 86,391,807.90/9,774.72
  6. Step 6: Final answer
    x = 8,838.29

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1.5x scale

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.