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Finding the Fourth Proportional to 6,319, 9,478.50 and 1,702

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Solution

The fourth proportional to 6,319, 9,478.50 and 1,702 is: 2,553

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319 : 9,478.50 = 1,702 : x
  2. Step 2: Convert to fraction form
    6,319/9,478.50 = 1,702/x
  3. Step 3: Cross multiply
    6,319x = 9,478.50 × 1,702
  4. Step 4: Simplify right side
    6,319x = 16,132,407
  5. Step 5: Solve for x
    x = 16,132,407/6,319
  6. Step 6: Final answer
    x = 2,553

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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.