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Finding the Fourth Proportional to 2,109.61, 3,165.02 and 648.98

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Solution

The fourth proportional to 2,109.61, 3,165.02 and 648.98 is: 973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.61 : 3,165.02 = 648.98 : x
  2. Step 2: Convert to fraction form
    2,109.61/3,165.02 = 648.98/x
  3. Step 3: Cross multiply
    2,109.61x = 3,165.02 × 648.98
  4. Step 4: Simplify right side
    2,109.61x = 2,054,034.68
  5. Step 5: Solve for x
    x = 2,054,034.68/2,109.61
  6. Step 6: Final answer
    x = 973.66

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1.5x scale

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.