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Finding the Fourth Proportional to 7,078.40, 10,588.08 and 6,553.52

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Solution

The fourth proportional to 7,078.40, 10,588.08 and 6,553.52 is: 9,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.40 : 10,588.08 = 6,553.52 : x
  2. Step 2: Convert to fraction form
    7,078.40/10,588.08 = 6,553.52/x
  3. Step 3: Cross multiply
    7,078.40x = 10,588.08 × 6,553.52
  4. Step 4: Simplify right side
    7,078.40x = 69,389,194.04
  5. Step 5: Solve for x
    x = 69,389,194.04/7,078.40
  6. Step 6: Final answer
    x = 9,802.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.