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Finding the Fourth Proportional to 7,000.57, 9,660.77 and 3,856.76

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Solution

The fourth proportional to 7,000.57, 9,660.77 and 3,856.76 is: 5,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.57 : 9,660.77 = 3,856.76 : x
  2. Step 2: Convert to fraction form
    7,000.57/9,660.77 = 3,856.76/x
  3. Step 3: Cross multiply
    7,000.57x = 9,660.77 × 3,856.76
  4. Step 4: Simplify right side
    7,000.57x = 37,259,271.31
  5. Step 5: Solve for x
    x = 37,259,271.31/7,000.57
  6. Step 6: Final answer
    x = 5,322.32

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Half scale
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Double scale
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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.