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Finding the Fourth Proportional to 7,811.60, 11,661.74 and 7,538.24

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Solution

The fourth proportional to 7,811.60, 11,661.74 and 7,538.24 is: 11,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.60 : 11,661.74 = 7,538.24 : x
  2. Step 2: Convert to fraction form
    7,811.60/11,661.74 = 7,538.24/x
  3. Step 3: Cross multiply
    7,811.60x = 11,661.74 × 7,538.24
  4. Step 4: Simplify right side
    7,811.60x = 87,908,994.94
  5. Step 5: Solve for x
    x = 87,908,994.94/7,811.60
  6. Step 6: Final answer
    x = 11,253.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.