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Finding the Fourth Proportional to 9,867.82, 14,803.98 and 2,847.90

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Solution

The fourth proportional to 9,867.82, 14,803.98 and 2,847.90 is: 4,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.82 : 14,803.98 = 2,847.90 : x
  2. Step 2: Convert to fraction form
    9,867.82/14,803.98 = 2,847.90/x
  3. Step 3: Cross multiply
    9,867.82x = 14,803.98 × 2,847.90
  4. Step 4: Simplify right side
    9,867.82x = 42,160,254.64
  5. Step 5: Solve for x
    x = 42,160,254.64/9,867.82
  6. Step 6: Final answer
    x = 4,272.50

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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.