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Finding the Fourth Proportional to 5,298, 7,947 and 1,650

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Solution

The fourth proportional to 5,298, 7,947 and 1,650 is: 2,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 7,947 = 1,650 : x
  2. Step 2: Convert to fraction form
    5,298/7,947 = 1,650/x
  3. Step 3: Cross multiply
    5,298x = 7,947 × 1,650
  4. Step 4: Simplify right side
    5,298x = 13,112,550
  5. Step 5: Solve for x
    x = 13,112,550/5,298
  6. Step 6: Final answer
    x = 2,475

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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.