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Finding the Fourth Proportional to 2,108.36, 3,162.99 and 647.47

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Solution

The fourth proportional to 2,108.36, 3,162.99 and 647.47 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.36 : 3,162.99 = 647.47 : x
  2. Step 2: Convert to fraction form
    2,108.36/3,162.99 = 647.47/x
  3. Step 3: Cross multiply
    2,108.36x = 3,162.99 × 647.47
  4. Step 4: Simplify right side
    2,108.36x = 2,047,925.32
  5. Step 5: Solve for x
    x = 2,047,925.32/2,108.36
  6. Step 6: Final answer
    x = 971.34

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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.