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Finding the Fourth Proportional to 9,409.76, 12,985.26 and 5,376.77

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Solution

The fourth proportional to 9,409.76, 12,985.26 and 5,376.77 is: 7,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.76 : 12,985.26 = 5,376.77 : x
  2. Step 2: Convert to fraction form
    9,409.76/12,985.26 = 5,376.77/x
  3. Step 3: Cross multiply
    9,409.76x = 12,985.26 × 5,376.77
  4. Step 4: Simplify right side
    9,409.76x = 69,818,691.48
  5. Step 5: Solve for x
    x = 69,818,691.48/9,409.76
  6. Step 6: Final answer
    x = 7,419.82

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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.