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Finding the Fourth Proportional to 3,918.72, 5,878.08 and 1,320.24

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Solution

The fourth proportional to 3,918.72, 5,878.08 and 1,320.24 is: 1,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.72 : 5,878.08 = 1,320.24 : x
  2. Step 2: Convert to fraction form
    3,918.72/5,878.08 = 1,320.24/x
  3. Step 3: Cross multiply
    3,918.72x = 5,878.08 × 1,320.24
  4. Step 4: Simplify right side
    3,918.72x = 7,760,476.34
  5. Step 5: Solve for x
    x = 7,760,476.34/3,918.72
  6. Step 6: Final answer
    x = 1,980.36

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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.