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Finding the Fourth Proportional to 10,530.88, 15,797.43 and 3,137.50

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Solution

The fourth proportional to 10,530.88, 15,797.43 and 3,137.50 is: 4,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.88 : 15,797.43 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    10,530.88/15,797.43 = 3,137.50/x
  3. Step 3: Cross multiply
    10,530.88x = 15,797.43 × 3,137.50
  4. Step 4: Simplify right side
    10,530.88x = 49,564,436.63
  5. Step 5: Solve for x
    x = 49,564,436.63/10,530.88
  6. Step 6: Final answer
    x = 4,706.58

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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.