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Finding the Fourth Proportional to 10,855.04, 14,978.12 and 6,074.01

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Solution

The fourth proportional to 10,855.04, 14,978.12 and 6,074.01 is: 8,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.04 : 14,978.12 = 6,074.01 : x
  2. Step 2: Convert to fraction form
    10,855.04/14,978.12 = 6,074.01/x
  3. Step 3: Cross multiply
    10,855.04x = 14,978.12 × 6,074.01
  4. Step 4: Simplify right side
    10,855.04x = 90,977,220.29
  5. Step 5: Solve for x
    x = 90,977,220.29/10,855.04
  6. Step 6: Final answer
    x = 8,381.11

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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.