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Finding the Fourth Proportional to 10,530.84, 15,797.88 and 4,989.64

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Solution

The fourth proportional to 10,530.84, 15,797.88 and 4,989.64 is: 7,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.84 : 15,797.88 = 4,989.64 : x
  2. Step 2: Convert to fraction form
    10,530.84/15,797.88 = 4,989.64/x
  3. Step 3: Cross multiply
    10,530.84x = 15,797.88 × 4,989.64
  4. Step 4: Simplify right side
    10,530.84x = 78,825,733.96
  5. Step 5: Solve for x
    x = 78,825,733.96/10,530.84
  6. Step 6: Final answer
    x = 7,485.23

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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.