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Finding the Fourth Proportional to 10,878.18, 15,014.61 and 6,684

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Solution

The fourth proportional to 10,878.18, 15,014.61 and 6,684 is: 9,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.18 : 15,014.61 = 6,684 : x
  2. Step 2: Convert to fraction form
    10,878.18/15,014.61 = 6,684/x
  3. Step 3: Cross multiply
    10,878.18x = 15,014.61 × 6,684
  4. Step 4: Simplify right side
    10,878.18x = 100,357,653.24
  5. Step 5: Solve for x
    x = 100,357,653.24/10,878.18
  6. Step 6: Final answer
    x = 9,225.59

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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.