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Finding the Fourth Proportional to 9,991.74, 14,994.29 and 4,148.34

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Solution

The fourth proportional to 9,991.74, 14,994.29 and 4,148.34 is: 6,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.74 : 14,994.29 = 4,148.34 : x
  2. Step 2: Convert to fraction form
    9,991.74/14,994.29 = 4,148.34/x
  3. Step 3: Cross multiply
    9,991.74x = 14,994.29 × 4,148.34
  4. Step 4: Simplify right side
    9,991.74x = 62,201,392.24
  5. Step 5: Solve for x
    x = 62,201,392.24/9,991.74
  6. Step 6: Final answer
    x = 6,225.28

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1.5x scale

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.