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Finding the Fourth Proportional to 30,652.53, 45,981.42 and 8,465.90

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Solution

The fourth proportional to 30,652.53, 45,981.42 and 8,465.90 is: 12,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.53 : 45,981.42 = 8,465.90 : x
  2. Step 2: Convert to fraction form
    30,652.53/45,981.42 = 8,465.90/x
  3. Step 3: Cross multiply
    30,652.53x = 45,981.42 × 8,465.90
  4. Step 4: Simplify right side
    30,652.53x = 389,274,148.19
  5. Step 5: Solve for x
    x = 389,274,148.19/30,652.53
  6. Step 6: Final answer
    x = 12,699.58

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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.