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Finding the Fourth Proportional to 7,097.78, 10,646.68 and 1,903.26

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Solution

The fourth proportional to 7,097.78, 10,646.68 and 1,903.26 is: 2,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.78 : 10,646.68 = 1,903.26 : x
  2. Step 2: Convert to fraction form
    7,097.78/10,646.68 = 1,903.26/x
  3. Step 3: Cross multiply
    7,097.78x = 10,646.68 × 1,903.26
  4. Step 4: Simplify right side
    7,097.78x = 20,263,400.18
  5. Step 5: Solve for x
    x = 20,263,400.18/7,097.78
  6. Step 6: Final answer
    x = 2,854.89

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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.