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Finding the Fourth Proportional to 5,354.61, 7,388.71 and 2,964.40

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Solution

The fourth proportional to 5,354.61, 7,388.71 and 2,964.40 is: 4,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.61 : 7,388.71 = 2,964.40 : x
  2. Step 2: Convert to fraction form
    5,354.61/7,388.71 = 2,964.40/x
  3. Step 3: Cross multiply
    5,354.61x = 7,388.71 × 2,964.40
  4. Step 4: Simplify right side
    5,354.61x = 21,903,066.04
  5. Step 5: Solve for x
    x = 21,903,066.04/5,354.61
  6. Step 6: Final answer
    x = 4,090.51

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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.