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Finding the Fourth Proportional to 3,415.86, 4,714.07 and 2,089.49

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Solution

The fourth proportional to 3,415.86, 4,714.07 and 2,089.49 is: 2,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.86 : 4,714.07 = 2,089.49 : x
  2. Step 2: Convert to fraction form
    3,415.86/4,714.07 = 2,089.49/x
  3. Step 3: Cross multiply
    3,415.86x = 4,714.07 × 2,089.49
  4. Step 4: Simplify right side
    3,415.86x = 9,849,968.11
  5. Step 5: Solve for x
    x = 9,849,968.11/3,415.86
  6. Step 6: Final answer
    x = 2,883.60

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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.