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Finding the Fourth Proportional to 7,784.12, 11,620.74 and 7,510.74

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Solution

The fourth proportional to 7,784.12, 11,620.74 and 7,510.74 is: 11,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.12 : 11,620.74 = 7,510.74 : x
  2. Step 2: Convert to fraction form
    7,784.12/11,620.74 = 7,510.74/x
  3. Step 3: Cross multiply
    7,784.12x = 11,620.74 × 7,510.74
  4. Step 4: Simplify right side
    7,784.12x = 87,280,356.75
  5. Step 5: Solve for x
    x = 87,280,356.75/7,784.12
  6. Step 6: Final answer
    x = 11,212.62

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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.