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Finding the Fourth Proportional to 5,678.81, 8,511.89 and 4,287.63

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Solution

The fourth proportional to 5,678.81, 8,511.89 and 4,287.63 is: 6,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.81 : 8,511.89 = 4,287.63 : x
  2. Step 2: Convert to fraction form
    5,678.81/8,511.89 = 4,287.63/x
  3. Step 3: Cross multiply
    5,678.81x = 8,511.89 × 4,287.63
  4. Step 4: Simplify right side
    5,678.81x = 36,495,845.40
  5. Step 5: Solve for x
    x = 36,495,845.40/5,678.81
  6. Step 6: Final answer
    x = 6,426.67

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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.