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Finding the Fourth Proportional to 7,142.14, 9,856.14 and 4,347.64

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Solution

The fourth proportional to 7,142.14, 9,856.14 and 4,347.64 is: 5,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.14 : 9,856.14 = 4,347.64 : x
  2. Step 2: Convert to fraction form
    7,142.14/9,856.14 = 4,347.64/x
  3. Step 3: Cross multiply
    7,142.14x = 9,856.14 × 4,347.64
  4. Step 4: Simplify right side
    7,142.14x = 42,850,948.51
  5. Step 5: Solve for x
    x = 42,850,948.51/7,142.14
  6. Step 6: Final answer
    x = 5,999.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.