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Finding the Fourth Proportional to 30,590.80, 45,893.18 and 10,869.32

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Solution

The fourth proportional to 30,590.80, 45,893.18 and 10,869.32 is: 16,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.80 : 45,893.18 = 10,869.32 : x
  2. Step 2: Convert to fraction form
    30,590.80/45,893.18 = 10,869.32/x
  3. Step 3: Cross multiply
    30,590.80x = 45,893.18 × 10,869.32
  4. Step 4: Simplify right side
    30,590.80x = 498,827,801.14
  5. Step 5: Solve for x
    x = 498,827,801.14/30,590.80
  6. Step 6: Final answer
    x = 16,306.47

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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.