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Finding the Fourth Proportional to 10,321.58, 15,482.28 and 2,530.40

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Solution

The fourth proportional to 10,321.58, 15,482.28 and 2,530.40 is: 3,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.58 : 15,482.28 = 2,530.40 : x
  2. Step 2: Convert to fraction form
    10,321.58/15,482.28 = 2,530.40/x
  3. Step 3: Cross multiply
    10,321.58x = 15,482.28 × 2,530.40
  4. Step 4: Simplify right side
    10,321.58x = 39,176,361.31
  5. Step 5: Solve for x
    x = 39,176,361.31/10,321.58
  6. Step 6: Final answer
    x = 3,795.58

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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.