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Finding the Fourth Proportional to 7,144, 10,714.88 and 1,950.24

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Solution

The fourth proportional to 7,144, 10,714.88 and 1,950.24 is: 2,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 10,714.88 = 1,950.24 : x
  2. Step 2: Convert to fraction form
    7,144/10,714.88 = 1,950.24/x
  3. Step 3: Cross multiply
    7,144x = 10,714.88 × 1,950.24
  4. Step 4: Simplify right side
    7,144x = 20,896,587.57
  5. Step 5: Solve for x
    x = 20,896,587.57/7,144
  6. Step 6: Final answer
    x = 2,925.05

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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.