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Finding the Fourth Proportional to 5,655.78, 7,804.50 and 3,298.14

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Solution

The fourth proportional to 5,655.78, 7,804.50 and 3,298.14 is: 4,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.78 : 7,804.50 = 3,298.14 : x
  2. Step 2: Convert to fraction form
    5,655.78/7,804.50 = 3,298.14/x
  3. Step 3: Cross multiply
    5,655.78x = 7,804.50 × 3,298.14
  4. Step 4: Simplify right side
    5,655.78x = 25,740,333.63
  5. Step 5: Solve for x
    x = 25,740,333.63/5,655.78
  6. Step 6: Final answer
    x = 4,551.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.