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Finding the Fourth Proportional to 10,396, 14,350.80 and 7,412.32

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Solution

The fourth proportional to 10,396, 14,350.80 and 7,412.32 is: 10,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396 : 14,350.80 = 7,412.32 : x
  2. Step 2: Convert to fraction form
    10,396/14,350.80 = 7,412.32/x
  3. Step 3: Cross multiply
    10,396x = 14,350.80 × 7,412.32
  4. Step 4: Simplify right side
    10,396x = 106,372,721.86
  5. Step 5: Solve for x
    x = 106,372,721.86/10,396
  6. Step 6: Final answer
    x = 10,232.08

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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.