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Finding the Fourth Proportional to 9,989.85, 14,980.89 and 3,746.46

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Solution

The fourth proportional to 9,989.85, 14,980.89 and 3,746.46 is: 5,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.85 : 14,980.89 = 3,746.46 : x
  2. Step 2: Convert to fraction form
    9,989.85/14,980.89 = 3,746.46/x
  3. Step 3: Cross multiply
    9,989.85x = 14,980.89 × 3,746.46
  4. Step 4: Simplify right side
    9,989.85x = 56,125,305.15
  5. Step 5: Solve for x
    x = 56,125,305.15/9,989.85
  6. Step 6: Final answer
    x = 5,618.23

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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.