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Finding the Fourth Proportional to 30,921.54, 46,386.15 and 9,855.87

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Solution

The fourth proportional to 30,921.54, 46,386.15 and 9,855.87 is: 14,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.54 : 46,386.15 = 9,855.87 : x
  2. Step 2: Convert to fraction form
    30,921.54/46,386.15 = 9,855.87/x
  3. Step 3: Cross multiply
    30,921.54x = 46,386.15 × 9,855.87
  4. Step 4: Simplify right side
    30,921.54x = 457,175,864.20
  5. Step 5: Solve for x
    x = 457,175,864.20/30,921.54
  6. Step 6: Final answer
    x = 14,785.03

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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.