Home / 2,564.40-3,538.80-1,569.76

Finding the Fourth Proportional to 2,564.40, 3,538.80 and 1,569.76

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Solution

The fourth proportional to 2,564.40, 3,538.80 and 1,569.76 is: 2,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.40 : 3,538.80 = 1,569.76 : x
  2. Step 2: Convert to fraction form
    2,564.40/3,538.80 = 1,569.76/x
  3. Step 3: Cross multiply
    2,564.40x = 3,538.80 × 1,569.76
  4. Step 4: Simplify right side
    2,564.40x = 5,555,066.69
  5. Step 5: Solve for x
    x = 5,555,066.69/2,564.40
  6. Step 6: Final answer
    x = 2,166.22

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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.