Home / 2,823.50-3,896.31-1,564.55

Finding the Fourth Proportional to 2,823.50, 3,896.31 and 1,564.55

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Solution

The fourth proportional to 2,823.50, 3,896.31 and 1,564.55 is: 2,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.50 : 3,896.31 = 1,564.55 : x
  2. Step 2: Convert to fraction form
    2,823.50/3,896.31 = 1,564.55/x
  3. Step 3: Cross multiply
    2,823.50x = 3,896.31 × 1,564.55
  4. Step 4: Simplify right side
    2,823.50x = 6,095,971.81
  5. Step 5: Solve for x
    x = 6,095,971.81/2,823.50
  6. Step 6: Final answer
    x = 2,159.01

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1.5x scale

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.