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Finding the Fourth Proportional to 7,130.90, 9,834.62 and 5,359.44

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Solution

The fourth proportional to 7,130.90, 9,834.62 and 5,359.44 is: 7,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.90 : 9,834.62 = 5,359.44 : x
  2. Step 2: Convert to fraction form
    7,130.90/9,834.62 = 5,359.44/x
  3. Step 3: Cross multiply
    7,130.90x = 9,834.62 × 5,359.44
  4. Step 4: Simplify right side
    7,130.90x = 52,708,055.81
  5. Step 5: Solve for x
    x = 52,708,055.81/7,130.90
  6. Step 6: Final answer
    x = 7,391.50

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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.