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Finding the Fourth Proportional to 5,201, 7,801.50 and 1,553

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Solution

The fourth proportional to 5,201, 7,801.50 and 1,553 is: 2,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201 : 7,801.50 = 1,553 : x
  2. Step 2: Convert to fraction form
    5,201/7,801.50 = 1,553/x
  3. Step 3: Cross multiply
    5,201x = 7,801.50 × 1,553
  4. Step 4: Simplify right side
    5,201x = 12,115,729.50
  5. Step 5: Solve for x
    x = 12,115,729.50/5,201
  6. Step 6: Final answer
    x = 2,329.50

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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.