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Finding the Fourth Proportional to 7,854.78, 10,842.30 and 5,503.80

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Solution

The fourth proportional to 7,854.78, 10,842.30 and 5,503.80 is: 7,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.78 : 10,842.30 = 5,503.80 : x
  2. Step 2: Convert to fraction form
    7,854.78/10,842.30 = 5,503.80/x
  3. Step 3: Cross multiply
    7,854.78x = 10,842.30 × 5,503.80
  4. Step 4: Simplify right side
    7,854.78x = 59,673,850.74
  5. Step 5: Solve for x
    x = 59,673,850.74/7,854.78
  6. Step 6: Final answer
    x = 7,597.14

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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.