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Finding the Fourth Proportional to 30,765.98, 46,155.94 and 9,705.90

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Solution

The fourth proportional to 30,765.98, 46,155.94 and 9,705.90 is: 14,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.98 : 46,155.94 = 9,705.90 : x
  2. Step 2: Convert to fraction form
    30,765.98/46,155.94 = 9,705.90/x
  3. Step 3: Cross multiply
    30,765.98x = 46,155.94 × 9,705.90
  4. Step 4: Simplify right side
    30,765.98x = 447,984,938.05
  5. Step 5: Solve for x
    x = 447,984,938.05/30,765.98
  6. Step 6: Final answer
    x = 14,561.05

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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.