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Finding the Fourth Proportional to 7,158, 9,878.16 and 4,014

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Solution

The fourth proportional to 7,158, 9,878.16 and 4,014 is: 5,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 9,878.16 = 4,014 : x
  2. Step 2: Convert to fraction form
    7,158/9,878.16 = 4,014/x
  3. Step 3: Cross multiply
    7,158x = 9,878.16 × 4,014
  4. Step 4: Simplify right side
    7,158x = 39,650,934.24
  5. Step 5: Solve for x
    x = 39,650,934.24/7,158
  6. Step 6: Final answer
    x = 5,539.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.