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Finding the Fourth Proportional to 10,376.64, 15,620.32 and 9,305

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Solution

The fourth proportional to 10,376.64, 15,620.32 and 9,305 is: 14,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.64 : 15,620.32 = 9,305 : x
  2. Step 2: Convert to fraction form
    10,376.64/15,620.32 = 9,305/x
  3. Step 3: Cross multiply
    10,376.64x = 15,620.32 × 9,305
  4. Step 4: Simplify right side
    10,376.64x = 145,347,077.60
  5. Step 5: Solve for x
    x = 145,347,077.60/10,376.64
  6. Step 6: Final answer
    x = 14,007.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.