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Finding the Fourth Proportional to 9,991.84, 14,988 and 3,417.98

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Solution

The fourth proportional to 9,991.84, 14,988 and 3,417.98 is: 5,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.84 : 14,988 = 3,417.98 : x
  2. Step 2: Convert to fraction form
    9,991.84/14,988 = 3,417.98/x
  3. Step 3: Cross multiply
    9,991.84x = 14,988 × 3,417.98
  4. Step 4: Simplify right side
    9,991.84x = 51,228,684.24
  5. Step 5: Solve for x
    x = 51,228,684.24/9,991.84
  6. Step 6: Final answer
    x = 5,127.05

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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.