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Finding the Fourth Proportional to 5,359.59, 8,051.74 and 5,138.16

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Solution

The fourth proportional to 5,359.59, 8,051.74 and 5,138.16 is: 7,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.59 : 8,051.74 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    5,359.59/8,051.74 = 5,138.16/x
  3. Step 3: Cross multiply
    5,359.59x = 8,051.74 × 5,138.16
  4. Step 4: Simplify right side
    5,359.59x = 41,371,115.55
  5. Step 5: Solve for x
    x = 41,371,115.55/5,359.59
  6. Step 6: Final answer
    x = 7,719.08

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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.