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Finding the Fourth Proportional to 9,313, 13,969.86 and 3,157

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Solution

The fourth proportional to 9,313, 13,969.86 and 3,157 is: 4,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313 : 13,969.86 = 3,157 : x
  2. Step 2: Convert to fraction form
    9,313/13,969.86 = 3,157/x
  3. Step 3: Cross multiply
    9,313x = 13,969.86 × 3,157
  4. Step 4: Simplify right side
    9,313x = 44,102,848.02
  5. Step 5: Solve for x
    x = 44,102,848.02/9,313
  6. Step 6: Final answer
    x = 4,735.62

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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.