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Finding the Fourth Proportional to 5,642, 7,784.16 and 3,654.08

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Solution

The fourth proportional to 5,642, 7,784.16 and 3,654.08 is: 5,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 7,784.16 = 3,654.08 : x
  2. Step 2: Convert to fraction form
    5,642/7,784.16 = 3,654.08/x
  3. Step 3: Cross multiply
    5,642x = 7,784.16 × 3,654.08
  4. Step 4: Simplify right side
    5,642x = 28,443,943.37
  5. Step 5: Solve for x
    x = 28,443,943.37/5,642
  6. Step 6: Final answer
    x = 5,041.46

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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.