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Finding the Fourth Proportional to 7,100.48, 9,798.24 and 4,116.08

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Solution

The fourth proportional to 7,100.48, 9,798.24 and 4,116.08 is: 5,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.48 : 9,798.24 = 4,116.08 : x
  2. Step 2: Convert to fraction form
    7,100.48/9,798.24 = 4,116.08/x
  3. Step 3: Cross multiply
    7,100.48x = 9,798.24 × 4,116.08
  4. Step 4: Simplify right side
    7,100.48x = 40,330,339.70
  5. Step 5: Solve for x
    x = 40,330,339.70/7,100.48
  6. Step 6: Final answer
    x = 5,679.95

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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.