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Finding the Fourth Proportional to 3,129.93, 4,319.31 and 1,951

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Solution

The fourth proportional to 3,129.93, 4,319.31 and 1,951 is: 2,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.93 : 4,319.31 = 1,951 : x
  2. Step 2: Convert to fraction form
    3,129.93/4,319.31 = 1,951/x
  3. Step 3: Cross multiply
    3,129.93x = 4,319.31 × 1,951
  4. Step 4: Simplify right side
    3,129.93x = 8,426,973.81
  5. Step 5: Solve for x
    x = 8,426,973.81/3,129.93
  6. Step 6: Final answer
    x = 2,692.38

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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.