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Finding the Fourth Proportional to 9,985, 14,967.26 and 4,145

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Solution

The fourth proportional to 9,985, 14,967.26 and 4,145 is: 6,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985 : 14,967.26 = 4,145 : x
  2. Step 2: Convert to fraction form
    9,985/14,967.26 = 4,145/x
  3. Step 3: Cross multiply
    9,985x = 14,967.26 × 4,145
  4. Step 4: Simplify right side
    9,985x = 62,039,292.70
  5. Step 5: Solve for x
    x = 62,039,292.70/9,985
  6. Step 6: Final answer
    x = 6,213.25

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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.