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Finding the Fourth Proportional to 4,374, 6,564.04 and 1,776.94

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Solution

The fourth proportional to 4,374, 6,564.04 and 1,776.94 is: 2,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,564.04 = 1,776.94 : x
  2. Step 2: Convert to fraction form
    4,374/6,564.04 = 1,776.94/x
  3. Step 3: Cross multiply
    4,374x = 6,564.04 × 1,776.94
  4. Step 4: Simplify right side
    4,374x = 11,663,884.39
  5. Step 5: Solve for x
    x = 11,663,884.39/4,374
  6. Step 6: Final answer
    x = 2,666.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.