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Finding the Fourth Proportional to 4,639, 6,958.56 and 1,561

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Solution

The fourth proportional to 4,639, 6,958.56 and 1,561 is: 2,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639 : 6,958.56 = 1,561 : x
  2. Step 2: Convert to fraction form
    4,639/6,958.56 = 1,561/x
  3. Step 3: Cross multiply
    4,639x = 6,958.56 × 1,561
  4. Step 4: Simplify right side
    4,639x = 10,862,312.16
  5. Step 5: Solve for x
    x = 10,862,312.16/4,639
  6. Step 6: Final answer
    x = 2,341.52

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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.