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Finding the Fourth Proportional to 30,280.50, 45,421.16 and 9,504

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Solution

The fourth proportional to 30,280.50, 45,421.16 and 9,504 is: 14,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.50 : 45,421.16 = 9,504 : x
  2. Step 2: Convert to fraction form
    30,280.50/45,421.16 = 9,504/x
  3. Step 3: Cross multiply
    30,280.50x = 45,421.16 × 9,504
  4. Step 4: Simplify right side
    30,280.50x = 431,682,657.12
  5. Step 5: Solve for x
    x = 431,682,657.12/30,280.50
  6. Step 6: Final answer
    x = 14,256.13

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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.