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Finding the Fourth Proportional to 10,059.96, 13,882.78 and 5,583.40

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Solution

The fourth proportional to 10,059.96, 13,882.78 and 5,583.40 is: 7,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.96 : 13,882.78 = 5,583.40 : x
  2. Step 2: Convert to fraction form
    10,059.96/13,882.78 = 5,583.40/x
  3. Step 3: Cross multiply
    10,059.96x = 13,882.78 × 5,583.40
  4. Step 4: Simplify right side
    10,059.96x = 77,513,113.85
  5. Step 5: Solve for x
    x = 77,513,113.85/10,059.96
  6. Step 6: Final answer
    x = 7,705.11

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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.