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Finding the Fourth Proportional to 5,152, 7,110.72 and 3,056.08

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Solution

The fourth proportional to 5,152, 7,110.72 and 3,056.08 is: 4,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152 : 7,110.72 = 3,056.08 : x
  2. Step 2: Convert to fraction form
    5,152/7,110.72 = 3,056.08/x
  3. Step 3: Cross multiply
    5,152x = 7,110.72 × 3,056.08
  4. Step 4: Simplify right side
    5,152x = 21,730,929.18
  5. Step 5: Solve for x
    x = 21,730,929.18/5,152
  6. Step 6: Final answer
    x = 4,217.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.