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Finding the Fourth Proportional to 2,899.86, 4,001.77 and 1,640.93

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Solution

The fourth proportional to 2,899.86, 4,001.77 and 1,640.93 is: 2,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.86 : 4,001.77 = 1,640.93 : x
  2. Step 2: Convert to fraction form
    2,899.86/4,001.77 = 1,640.93/x
  3. Step 3: Cross multiply
    2,899.86x = 4,001.77 × 1,640.93
  4. Step 4: Simplify right side
    2,899.86x = 6,566,596.23
  5. Step 5: Solve for x
    x = 6,566,596.23/2,899.86
  6. Step 6: Final answer
    x = 2,264.45

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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.