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Finding the Fourth Proportional to 9,409.75, 12,985.25 and 5,376.76

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Solution

The fourth proportional to 9,409.75, 12,985.25 and 5,376.76 is: 7,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.75 : 12,985.25 = 5,376.76 : x
  2. Step 2: Convert to fraction form
    9,409.75/12,985.25 = 5,376.76/x
  3. Step 3: Cross multiply
    9,409.75x = 12,985.25 × 5,376.76
  4. Step 4: Simplify right side
    9,409.75x = 69,818,572.79
  5. Step 5: Solve for x
    x = 69,818,572.79/9,409.75
  6. Step 6: Final answer
    x = 7,419.81

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1.5x scale

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.