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Finding the Fourth Proportional to 2,034.16, 3,051.24 and 647.50

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Solution

The fourth proportional to 2,034.16, 3,051.24 and 647.50 is: 971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.16 : 3,051.24 = 647.50 : x
  2. Step 2: Convert to fraction form
    2,034.16/3,051.24 = 647.50/x
  3. Step 3: Cross multiply
    2,034.16x = 3,051.24 × 647.50
  4. Step 4: Simplify right side
    2,034.16x = 1,975,687.61
  5. Step 5: Solve for x
    x = 1,975,687.61/2,034.16
  6. Step 6: Final answer
    x = 971.25

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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.