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Finding the Fourth Proportional to 11,463.65, 15,822.64 and 6,989.86

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Solution

The fourth proportional to 11,463.65, 15,822.64 and 6,989.86 is: 9,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.65 : 15,822.64 = 6,989.86 : x
  2. Step 2: Convert to fraction form
    11,463.65/15,822.64 = 6,989.86/x
  3. Step 3: Cross multiply
    11,463.65x = 15,822.64 × 6,989.86
  4. Step 4: Simplify right side
    11,463.65x = 110,598,066.95
  5. Step 5: Solve for x
    x = 110,598,066.95/11,463.65
  6. Step 6: Final answer
    x = 9,647.72

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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.