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Finding the Fourth Proportional to 9,822.86, 14,728.41 and 6,664.20

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Solution

The fourth proportional to 9,822.86, 14,728.41 and 6,664.20 is: 9,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.86 : 14,728.41 = 6,664.20 : x
  2. Step 2: Convert to fraction form
    9,822.86/14,728.41 = 6,664.20/x
  3. Step 3: Cross multiply
    9,822.86x = 14,728.41 × 6,664.20
  4. Step 4: Simplify right side
    9,822.86x = 98,153,069.92
  5. Step 5: Solve for x
    x = 98,153,069.92/9,822.86
  6. Step 6: Final answer
    x = 9,992.31

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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.