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Finding the Fourth Proportional to 30,765, 46,155.18 and 8,877

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Solution

The fourth proportional to 30,765, 46,155.18 and 8,877 is: 13,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 46,155.18 = 8,877 : x
  2. Step 2: Convert to fraction form
    30,765/46,155.18 = 8,877/x
  3. Step 3: Cross multiply
    30,765x = 46,155.18 × 8,877
  4. Step 4: Simplify right side
    30,765x = 409,719,532.86
  5. Step 5: Solve for x
    x = 409,719,532.86/30,765
  6. Step 6: Final answer
    x = 13,317.72

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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.