Home / 1,411.32-2,117.19-534.14

Finding the Fourth Proportional to 1,411.32, 2,117.19 and 534.14

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Solution

The fourth proportional to 1,411.32, 2,117.19 and 534.14 is: 801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.32 : 2,117.19 = 534.14 : x
  2. Step 2: Convert to fraction form
    1,411.32/2,117.19 = 534.14/x
  3. Step 3: Cross multiply
    1,411.32x = 2,117.19 × 534.14
  4. Step 4: Simplify right side
    1,411.32x = 1,130,884.13
  5. Step 5: Solve for x
    x = 1,130,884.13/1,411.32
  6. Step 6: Final answer
    x = 801.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.