Home / 1,742.42-2,624-1,571.10

Finding the Fourth Proportional to 1,742.42, 2,624 and 1,571.10

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Solution

The fourth proportional to 1,742.42, 2,624 and 1,571.10 is: 2,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.42 : 2,624 = 1,571.10 : x
  2. Step 2: Convert to fraction form
    1,742.42/2,624 = 1,571.10/x
  3. Step 3: Cross multiply
    1,742.42x = 2,624 × 1,571.10
  4. Step 4: Simplify right side
    1,742.42x = 4,122,566.40
  5. Step 5: Solve for x
    x = 4,122,566.40/1,742.42
  6. Step 6: Final answer
    x = 2,366.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.