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Finding the Fourth Proportional to 4,894, 7,342.08 and 1,431.52

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Solution

The fourth proportional to 4,894, 7,342.08 and 1,431.52 is: 2,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894 : 7,342.08 = 1,431.52 : x
  2. Step 2: Convert to fraction form
    4,894/7,342.08 = 1,431.52/x
  3. Step 3: Cross multiply
    4,894x = 7,342.08 × 1,431.52
  4. Step 4: Simplify right side
    4,894x = 10,510,334.36
  5. Step 5: Solve for x
    x = 10,510,334.36/4,894
  6. Step 6: Final answer
    x = 2,147.60

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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.