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Finding the Fourth Proportional to 10,059.11, 13,880.15 and 6,024.98

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Solution

The fourth proportional to 10,059.11, 13,880.15 and 6,024.98 is: 8,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.11 : 13,880.15 = 6,024.98 : x
  2. Step 2: Convert to fraction form
    10,059.11/13,880.15 = 6,024.98/x
  3. Step 3: Cross multiply
    10,059.11x = 13,880.15 × 6,024.98
  4. Step 4: Simplify right side
    10,059.11x = 83,627,630.72
  5. Step 5: Solve for x
    x = 83,627,630.72/10,059.11
  6. Step 6: Final answer
    x = 8,313.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.