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Finding the Fourth Proportional to 10,065.70, 13,890.08 and 5,589.34

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Solution

The fourth proportional to 10,065.70, 13,890.08 and 5,589.34 is: 7,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.70 : 13,890.08 = 5,589.34 : x
  2. Step 2: Convert to fraction form
    10,065.70/13,890.08 = 5,589.34/x
  3. Step 3: Cross multiply
    10,065.70x = 13,890.08 × 5,589.34
  4. Step 4: Simplify right side
    10,065.70x = 77,636,359.00
  5. Step 5: Solve for x
    x = 77,636,359.00/10,065.70
  6. Step 6: Final answer
    x = 7,712.96

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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.