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Finding the Fourth Proportional to 7,117.61, 9,816.39 and 5,346.14

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Solution

The fourth proportional to 7,117.61, 9,816.39 and 5,346.14 is: 7,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.61 : 9,816.39 = 5,346.14 : x
  2. Step 2: Convert to fraction form
    7,117.61/9,816.39 = 5,346.14/x
  3. Step 3: Cross multiply
    7,117.61x = 9,816.39 × 5,346.14
  4. Step 4: Simplify right side
    7,117.61x = 52,479,746.15
  5. Step 5: Solve for x
    x = 52,479,746.15/7,117.61
  6. Step 6: Final answer
    x = 7,373.23

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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.