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Finding the Fourth Proportional to 7,100.91, 9,800.71 and 4,711.02

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Solution

The fourth proportional to 7,100.91, 9,800.71 and 4,711.02 is: 6,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.91 : 9,800.71 = 4,711.02 : x
  2. Step 2: Convert to fraction form
    7,100.91/9,800.71 = 4,711.02/x
  3. Step 3: Cross multiply
    7,100.91x = 9,800.71 × 4,711.02
  4. Step 4: Simplify right side
    7,100.91x = 46,171,340.82
  5. Step 5: Solve for x
    x = 46,171,340.82/7,100.91
  6. Step 6: Final answer
    x = 6,502.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.