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Finding the Fourth Proportional to 10,590.40, 15,878.40 and 5,046.40

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Solution

The fourth proportional to 10,590.40, 15,878.40 and 5,046.40 is: 7,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.40 : 15,878.40 = 5,046.40 : x
  2. Step 2: Convert to fraction form
    10,590.40/15,878.40 = 5,046.40/x
  3. Step 3: Cross multiply
    10,590.40x = 15,878.40 × 5,046.40
  4. Step 4: Simplify right side
    10,590.40x = 80,128,757.76
  5. Step 5: Solve for x
    x = 80,128,757.76/10,590.40
  6. Step 6: Final answer
    x = 7,566.17

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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.