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Finding the Fourth Proportional to 8,598.84, 11,862.90 and 6,823.32

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Solution

The fourth proportional to 8,598.84, 11,862.90 and 6,823.32 is: 9,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.84 : 11,862.90 = 6,823.32 : x
  2. Step 2: Convert to fraction form
    8,598.84/11,862.90 = 6,823.32/x
  3. Step 3: Cross multiply
    8,598.84x = 11,862.90 × 6,823.32
  4. Step 4: Simplify right side
    8,598.84x = 80,944,362.83
  5. Step 5: Solve for x
    x = 80,944,362.83/8,598.84
  6. Step 6: Final answer
    x = 9,413.40

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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.