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Finding the Fourth Proportional to 7,098.48, 9,789.12 and 4,705.92

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Solution

The fourth proportional to 7,098.48, 9,789.12 and 4,705.92 is: 6,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.48 : 9,789.12 = 4,705.92 : x
  2. Step 2: Convert to fraction form
    7,098.48/9,789.12 = 4,705.92/x
  3. Step 3: Cross multiply
    7,098.48x = 9,789.12 × 4,705.92
  4. Step 4: Simplify right side
    7,098.48x = 46,066,815.59
  5. Step 5: Solve for x
    x = 46,066,815.59/7,098.48
  6. Step 6: Final answer
    x = 6,489.67

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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.