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Finding the Fourth Proportional to 2,870.62, 4,303.02 and 1,946.27

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Solution

The fourth proportional to 2,870.62, 4,303.02 and 1,946.27 is: 2,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.62 : 4,303.02 = 1,946.27 : x
  2. Step 2: Convert to fraction form
    2,870.62/4,303.02 = 1,946.27/x
  3. Step 3: Cross multiply
    2,870.62x = 4,303.02 × 1,946.27
  4. Step 4: Simplify right side
    2,870.62x = 8,374,838.74
  5. Step 5: Solve for x
    x = 8,374,838.74/2,870.62
  6. Step 6: Final answer
    x = 2,917.43

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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.