Home / 1,742.34-2,403.36-1,410.78

Finding the Fourth Proportional to 1,742.34, 2,403.36 and 1,410.78

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Solution

The fourth proportional to 1,742.34, 2,403.36 and 1,410.78 is: 1,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.34 : 2,403.36 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    1,742.34/2,403.36 = 1,410.78/x
  3. Step 3: Cross multiply
    1,742.34x = 2,403.36 × 1,410.78
  4. Step 4: Simplify right side
    1,742.34x = 3,390,612.22
  5. Step 5: Solve for x
    x = 3,390,612.22/1,742.34
  6. Step 6: Final answer
    x = 1,946.01

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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.