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Finding the Fourth Proportional to 9,867.68, 13,611.44 and 6,509.30

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Solution

The fourth proportional to 9,867.68, 13,611.44 and 6,509.30 is: 8,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.68 : 13,611.44 = 6,509.30 : x
  2. Step 2: Convert to fraction form
    9,867.68/13,611.44 = 6,509.30/x
  3. Step 3: Cross multiply
    9,867.68x = 13,611.44 × 6,509.30
  4. Step 4: Simplify right side
    9,867.68x = 88,600,946.39
  5. Step 5: Solve for x
    x = 88,600,946.39/9,867.68
  6. Step 6: Final answer
    x = 8,978.90

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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.