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Finding the Fourth Proportional to 9,157, 13,730.64 and 4,224.10

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Solution

The fourth proportional to 9,157, 13,730.64 and 4,224.10 is: 6,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157 : 13,730.64 = 4,224.10 : x
  2. Step 2: Convert to fraction form
    9,157/13,730.64 = 4,224.10/x
  3. Step 3: Cross multiply
    9,157x = 13,730.64 × 4,224.10
  4. Step 4: Simplify right side
    9,157x = 57,999,596.42
  5. Step 5: Solve for x
    x = 57,999,596.42/9,157
  6. Step 6: Final answer
    x = 6,333.91

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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.