Home / 1,742.31-2,405.70-1,529.08

Finding the Fourth Proportional to 1,742.31, 2,405.70 and 1,529.08

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Solution

The fourth proportional to 1,742.31, 2,405.70 and 1,529.08 is: 2,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,405.70 = 1,529.08 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,405.70 = 1,529.08/x
  3. Step 3: Cross multiply
    1,742.31x = 2,405.70 × 1,529.08
  4. Step 4: Simplify right side
    1,742.31x = 3,678,501.74
  5. Step 5: Solve for x
    x = 3,678,501.74/1,742.31
  6. Step 6: Final answer
    x = 2,111.28

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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.