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Finding the Fourth Proportional to 7,110.81, 9,805.64 and 4,719.94

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Solution

The fourth proportional to 7,110.81, 9,805.64 and 4,719.94 is: 6,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.81 : 9,805.64 = 4,719.94 : x
  2. Step 2: Convert to fraction form
    7,110.81/9,805.64 = 4,719.94/x
  3. Step 3: Cross multiply
    7,110.81x = 9,805.64 × 4,719.94
  4. Step 4: Simplify right side
    7,110.81x = 46,281,984.35
  5. Step 5: Solve for x
    x = 46,281,984.35/7,110.81
  6. Step 6: Final answer
    x = 6,508.68

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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.