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Finding the Fourth Proportional to 5,159.63, 7,739.42 and 1,871.57

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Solution

The fourth proportional to 5,159.63, 7,739.42 and 1,871.57 is: 2,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.63 : 7,739.42 = 1,871.57 : x
  2. Step 2: Convert to fraction form
    5,159.63/7,739.42 = 1,871.57/x
  3. Step 3: Cross multiply
    5,159.63x = 7,739.42 × 1,871.57
  4. Step 4: Simplify right side
    5,159.63x = 14,484,876.28
  5. Step 5: Solve for x
    x = 14,484,876.28/5,159.63
  6. Step 6: Final answer
    x = 2,807.35

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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.