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Finding the Fourth Proportional to 10,284, 14,191.81 and 5,807.67

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Solution

The fourth proportional to 10,284, 14,191.81 and 5,807.67 is: 8,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 14,191.81 = 5,807.67 : x
  2. Step 2: Convert to fraction form
    10,284/14,191.81 = 5,807.67/x
  3. Step 3: Cross multiply
    10,284x = 14,191.81 × 5,807.67
  4. Step 4: Simplify right side
    10,284x = 82,421,349.18
  5. Step 5: Solve for x
    x = 82,421,349.18/10,284
  6. Step 6: Final answer
    x = 8,014.52

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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.