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Finding the Fourth Proportional to 7,772.91, 11,654.51 and 3,610.32

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Solution

The fourth proportional to 7,772.91, 11,654.51 and 3,610.32 is: 5,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.91 : 11,654.51 = 3,610.32 : x
  2. Step 2: Convert to fraction form
    7,772.91/11,654.51 = 3,610.32/x
  3. Step 3: Cross multiply
    7,772.91x = 11,654.51 × 3,610.32
  4. Step 4: Simplify right side
    7,772.91x = 42,076,492.49
  5. Step 5: Solve for x
    x = 42,076,492.49/7,772.91
  6. Step 6: Final answer
    x = 5,413.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.