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Finding the Fourth Proportional to 7,785.84, 10,749.60 and 5,271.84

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Solution

The fourth proportional to 7,785.84, 10,749.60 and 5,271.84 is: 7,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.84 : 10,749.60 = 5,271.84 : x
  2. Step 2: Convert to fraction form
    7,785.84/10,749.60 = 5,271.84/x
  3. Step 3: Cross multiply
    7,785.84x = 10,749.60 × 5,271.84
  4. Step 4: Simplify right side
    7,785.84x = 56,670,171.26
  5. Step 5: Solve for x
    x = 56,670,171.26/7,785.84
  6. Step 6: Final answer
    x = 7,278.62

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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.