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Finding the Fourth Proportional to 2,946.32, 4,065.10 and 1,898.99

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Solution

The fourth proportional to 2,946.32, 4,065.10 and 1,898.99 is: 2,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.32 : 4,065.10 = 1,898.99 : x
  2. Step 2: Convert to fraction form
    2,946.32/4,065.10 = 1,898.99/x
  3. Step 3: Cross multiply
    2,946.32x = 4,065.10 × 1,898.99
  4. Step 4: Simplify right side
    2,946.32x = 7,719,584.25
  5. Step 5: Solve for x
    x = 7,719,584.25/2,946.32
  6. Step 6: Final answer
    x = 2,620.08

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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.