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Finding the Fourth Proportional to 5,526, 8,289 and 1,630.35

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Solution

The fourth proportional to 5,526, 8,289 and 1,630.35 is: 2,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526 : 8,289 = 1,630.35 : x
  2. Step 2: Convert to fraction form
    5,526/8,289 = 1,630.35/x
  3. Step 3: Cross multiply
    5,526x = 8,289 × 1,630.35
  4. Step 4: Simplify right side
    5,526x = 13,513,971.15
  5. Step 5: Solve for x
    x = 13,513,971.15/5,526
  6. Step 6: Final answer
    x = 2,445.53

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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.