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Finding the Fourth Proportional to 10,149, 15,228.06 and 6,450.27

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Solution

The fourth proportional to 10,149, 15,228.06 and 6,450.27 is: 9,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149 : 15,228.06 = 6,450.27 : x
  2. Step 2: Convert to fraction form
    10,149/15,228.06 = 6,450.27/x
  3. Step 3: Cross multiply
    10,149x = 15,228.06 × 6,450.27
  4. Step 4: Simplify right side
    10,149x = 98,225,098.58
  5. Step 5: Solve for x
    x = 98,225,098.58/10,149
  6. Step 6: Final answer
    x = 9,678.30

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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.