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Finding the Fourth Proportional to 4,878.16, 7,317.24 and 1,415.42

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Solution

The fourth proportional to 4,878.16, 7,317.24 and 1,415.42 is: 2,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.16 : 7,317.24 = 1,415.42 : x
  2. Step 2: Convert to fraction form
    4,878.16/7,317.24 = 1,415.42/x
  3. Step 3: Cross multiply
    4,878.16x = 7,317.24 × 1,415.42
  4. Step 4: Simplify right side
    4,878.16x = 10,356,967.84
  5. Step 5: Solve for x
    x = 10,356,967.84/4,878.16
  6. Step 6: Final answer
    x = 2,123.13

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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.