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Finding the Fourth Proportional to 5,158, 7,768.12 and 4,580.32

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Solution

The fourth proportional to 5,158, 7,768.12 and 4,580.32 is: 6,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158 : 7,768.12 = 4,580.32 : x
  2. Step 2: Convert to fraction form
    5,158/7,768.12 = 4,580.32/x
  3. Step 3: Cross multiply
    5,158x = 7,768.12 × 4,580.32
  4. Step 4: Simplify right side
    5,158x = 35,580,475.40
  5. Step 5: Solve for x
    x = 35,580,475.40/5,158
  6. Step 6: Final answer
    x = 6,898.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.