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Finding the Fourth Proportional to 7,146.48, 10,714.53 and 2,987.67

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Solution

The fourth proportional to 7,146.48, 10,714.53 and 2,987.67 is: 4,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.48 : 10,714.53 = 2,987.67 : x
  2. Step 2: Convert to fraction form
    7,146.48/10,714.53 = 2,987.67/x
  3. Step 3: Cross multiply
    7,146.48x = 10,714.53 × 2,987.67
  4. Step 4: Simplify right side
    7,146.48x = 32,011,479.85
  5. Step 5: Solve for x
    x = 32,011,479.85/7,146.48
  6. Step 6: Final answer
    x = 4,479.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.