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Finding the Fourth Proportional to 4,639.31, 6,959 and 1,561.31

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Solution

The fourth proportional to 4,639.31, 6,959 and 1,561.31 is: 2,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.31 : 6,959 = 1,561.31 : x
  2. Step 2: Convert to fraction form
    4,639.31/6,959 = 1,561.31/x
  3. Step 3: Cross multiply
    4,639.31x = 6,959 × 1,561.31
  4. Step 4: Simplify right side
    4,639.31x = 10,865,156.29
  5. Step 5: Solve for x
    x = 10,865,156.29/4,639.31
  6. Step 6: Final answer
    x = 2,341.98

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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.