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Finding the Fourth Proportional to 30,765.50, 46,155.93 and 8,877.50

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Solution

The fourth proportional to 30,765.50, 46,155.93 and 8,877.50 is: 13,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.50 : 46,155.93 = 8,877.50 : x
  2. Step 2: Convert to fraction form
    30,765.50/46,155.93 = 8,877.50/x
  3. Step 3: Cross multiply
    30,765.50x = 46,155.93 × 8,877.50
  4. Step 4: Simplify right side
    30,765.50x = 409,749,268.58
  5. Step 5: Solve for x
    x = 409,749,268.58/30,765.50
  6. Step 6: Final answer
    x = 13,318.47

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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.