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Finding the Fourth Proportional to 30,466.15, 45,700.16 and 8,280

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Solution

The fourth proportional to 30,466.15, 45,700.16 and 8,280 is: 12,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.15 : 45,700.16 = 8,280 : x
  2. Step 2: Convert to fraction form
    30,466.15/45,700.16 = 8,280/x
  3. Step 3: Cross multiply
    30,466.15x = 45,700.16 × 8,280
  4. Step 4: Simplify right side
    30,466.15x = 378,397,324.80
  5. Step 5: Solve for x
    x = 378,397,324.80/30,466.15
  6. Step 6: Final answer
    x = 12,420.25

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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.