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Finding the Fourth Proportional to 5,638.17, 7,782.87 and 5,047.68

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Solution

The fourth proportional to 5,638.17, 7,782.87 and 5,047.68 is: 6,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.17 : 7,782.87 = 5,047.68 : x
  2. Step 2: Convert to fraction form
    5,638.17/7,782.87 = 5,047.68/x
  3. Step 3: Cross multiply
    5,638.17x = 7,782.87 × 5,047.68
  4. Step 4: Simplify right side
    5,638.17x = 39,285,437.24
  5. Step 5: Solve for x
    x = 39,285,437.24/5,638.17
  6. Step 6: Final answer
    x = 6,967.76

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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.