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Finding the Fourth Proportional to 7,083.76, 10,619.85 and 4,342

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Solution

The fourth proportional to 7,083.76, 10,619.85 and 4,342 is: 6,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.76 : 10,619.85 = 4,342 : x
  2. Step 2: Convert to fraction form
    7,083.76/10,619.85 = 4,342/x
  3. Step 3: Cross multiply
    7,083.76x = 10,619.85 × 4,342
  4. Step 4: Simplify right side
    7,083.76x = 46,111,388.70
  5. Step 5: Solve for x
    x = 46,111,388.70/7,083.76
  6. Step 6: Final answer
    x = 6,509.45

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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.