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Finding the Fourth Proportional to 9,918, 14,876.40 and 4,074.46

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Solution

The fourth proportional to 9,918, 14,876.40 and 4,074.46 is: 6,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 14,876.40 = 4,074.46 : x
  2. Step 2: Convert to fraction form
    9,918/14,876.40 = 4,074.46/x
  3. Step 3: Cross multiply
    9,918x = 14,876.40 × 4,074.46
  4. Step 4: Simplify right side
    9,918x = 60,613,276.37
  5. Step 5: Solve for x
    x = 60,613,276.37/9,918
  6. Step 6: Final answer
    x = 6,111.44

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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.