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Finding the Fourth Proportional to 9,995.85, 14,987.84 and 3,421.89

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Solution

The fourth proportional to 9,995.85, 14,987.84 and 3,421.89 is: 5,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.85 : 14,987.84 = 3,421.89 : x
  2. Step 2: Convert to fraction form
    9,995.85/14,987.84 = 3,421.89/x
  3. Step 3: Cross multiply
    9,995.85x = 14,987.84 × 3,421.89
  4. Step 4: Simplify right side
    9,995.85x = 51,286,722.71
  5. Step 5: Solve for x
    x = 51,286,722.71/9,995.85
  6. Step 6: Final answer
    x = 5,130.80

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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.