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Finding the Fourth Proportional to 4,878.50, 7,318.02 and 1,416.02

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Solution

The fourth proportional to 4,878.50, 7,318.02 and 1,416.02 is: 2,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.50 : 7,318.02 = 1,416.02 : x
  2. Step 2: Convert to fraction form
    4,878.50/7,318.02 = 1,416.02/x
  3. Step 3: Cross multiply
    4,878.50x = 7,318.02 × 1,416.02
  4. Step 4: Simplify right side
    4,878.50x = 10,362,462.68
  5. Step 5: Solve for x
    x = 10,362,462.68/4,878.50
  6. Step 6: Final answer
    x = 2,124.11

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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.