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Finding the Fourth Proportional to 2,056.50, 3,085.92 and 1,570.50

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Solution

The fourth proportional to 2,056.50, 3,085.92 and 1,570.50 is: 2,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.50 : 3,085.92 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    2,056.50/3,085.92 = 1,570.50/x
  3. Step 3: Cross multiply
    2,056.50x = 3,085.92 × 1,570.50
  4. Step 4: Simplify right side
    2,056.50x = 4,846,437.36
  5. Step 5: Solve for x
    x = 4,846,437.36/2,056.50
  6. Step 6: Final answer
    x = 2,356.64

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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.