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Finding the Fourth Proportional to 3,089.72, 4,633.94 and 898.47

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Solution

The fourth proportional to 3,089.72, 4,633.94 and 898.47 is: 1,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.72 : 4,633.94 = 898.47 : x
  2. Step 2: Convert to fraction form
    3,089.72/4,633.94 = 898.47/x
  3. Step 3: Cross multiply
    3,089.72x = 4,633.94 × 898.47
  4. Step 4: Simplify right side
    3,089.72x = 4,163,458.32
  5. Step 5: Solve for x
    x = 4,163,458.32/3,089.72
  6. Step 6: Final answer
    x = 1,347.52

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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.