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Finding the Fourth Proportional to 6,499.79, 8,971.10 and 4,108.24

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Solution

The fourth proportional to 6,499.79, 8,971.10 and 4,108.24 is: 5,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.79 : 8,971.10 = 4,108.24 : x
  2. Step 2: Convert to fraction form
    6,499.79/8,971.10 = 4,108.24/x
  3. Step 3: Cross multiply
    6,499.79x = 8,971.10 × 4,108.24
  4. Step 4: Simplify right side
    6,499.79x = 36,855,486.28
  5. Step 5: Solve for x
    x = 36,855,486.28/6,499.79
  6. Step 6: Final answer
    x = 5,670.25

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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.