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Finding the Fourth Proportional to 7,800.30, 11,700.72 and 3,119.04

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Solution

The fourth proportional to 7,800.30, 11,700.72 and 3,119.04 is: 4,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.30 : 11,700.72 = 3,119.04 : x
  2. Step 2: Convert to fraction form
    7,800.30/11,700.72 = 3,119.04/x
  3. Step 3: Cross multiply
    7,800.30x = 11,700.72 × 3,119.04
  4. Step 4: Simplify right side
    7,800.30x = 36,495,013.71
  5. Step 5: Solve for x
    x = 36,495,013.71/7,800.30
  6. Step 6: Final answer
    x = 4,678.67

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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.