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Finding the Fourth Proportional to 4,776.78, 7,165.39 and 1,314.03

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Solution

The fourth proportional to 4,776.78, 7,165.39 and 1,314.03 is: 1,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.78 : 7,165.39 = 1,314.03 : x
  2. Step 2: Convert to fraction form
    4,776.78/7,165.39 = 1,314.03/x
  3. Step 3: Cross multiply
    4,776.78x = 7,165.39 × 1,314.03
  4. Step 4: Simplify right side
    4,776.78x = 9,415,537.42
  5. Step 5: Solve for x
    x = 9,415,537.42/4,776.78
  6. Step 6: Final answer
    x = 1,971.11

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1.5x scale

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.