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Finding the Fourth Proportional to 2,570, 3,852.30 and 1,837.40

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Solution

The fourth proportional to 2,570, 3,852.30 and 1,837.40 is: 2,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570 : 3,852.30 = 1,837.40 : x
  2. Step 2: Convert to fraction form
    2,570/3,852.30 = 1,837.40/x
  3. Step 3: Cross multiply
    2,570x = 3,852.30 × 1,837.40
  4. Step 4: Simplify right side
    2,570x = 7,078,216.02
  5. Step 5: Solve for x
    x = 7,078,216.02/2,570
  6. Step 6: Final answer
    x = 2,754.17

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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.