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Finding the Fourth Proportional to 9,903.40, 14,854.37 and 3,660.50

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Solution

The fourth proportional to 9,903.40, 14,854.37 and 3,660.50 is: 5,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.40 : 14,854.37 = 3,660.50 : x
  2. Step 2: Convert to fraction form
    9,903.40/14,854.37 = 3,660.50/x
  3. Step 3: Cross multiply
    9,903.40x = 14,854.37 × 3,660.50
  4. Step 4: Simplify right side
    9,903.40x = 54,374,421.39
  5. Step 5: Solve for x
    x = 54,374,421.39/9,903.40
  6. Step 6: Final answer
    x = 5,490.48

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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.