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Finding the Fourth Proportional to 7,148.92, 10,719.63 and 2,988.16

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Solution

The fourth proportional to 7,148.92, 10,719.63 and 2,988.16 is: 4,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.92 : 10,719.63 = 2,988.16 : x
  2. Step 2: Convert to fraction form
    7,148.92/10,719.63 = 2,988.16/x
  3. Step 3: Cross multiply
    7,148.92x = 10,719.63 × 2,988.16
  4. Step 4: Simplify right side
    7,148.92x = 32,031,969.58
  5. Step 5: Solve for x
    x = 32,031,969.58/7,148.92
  6. Step 6: Final answer
    x = 4,480.67

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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.