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Finding the Fourth Proportional to 5,299, 7,948.50 and 1,651

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Solution

The fourth proportional to 5,299, 7,948.50 and 1,651 is: 2,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299 : 7,948.50 = 1,651 : x
  2. Step 2: Convert to fraction form
    5,299/7,948.50 = 1,651/x
  3. Step 3: Cross multiply
    5,299x = 7,948.50 × 1,651
  4. Step 4: Simplify right side
    5,299x = 13,122,973.50
  5. Step 5: Solve for x
    x = 13,122,973.50/5,299
  6. Step 6: Final answer
    x = 2,476.50

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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.