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Finding the Fourth Proportional to 4,725.50, 7,088.28 and 1,647.50

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Solution

The fourth proportional to 4,725.50, 7,088.28 and 1,647.50 is: 2,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.50 : 7,088.28 = 1,647.50 : x
  2. Step 2: Convert to fraction form
    4,725.50/7,088.28 = 1,647.50/x
  3. Step 3: Cross multiply
    4,725.50x = 7,088.28 × 1,647.50
  4. Step 4: Simplify right side
    4,725.50x = 11,677,941.30
  5. Step 5: Solve for x
    x = 11,677,941.30/4,725.50
  6. Step 6: Final answer
    x = 2,471.26

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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.