Home / 1,458.24-2,012.16-837.12

Finding the Fourth Proportional to 1,458.24, 2,012.16 and 837.12

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Solution

The fourth proportional to 1,458.24, 2,012.16 and 837.12 is: 1,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.24 : 2,012.16 = 837.12 : x
  2. Step 2: Convert to fraction form
    1,458.24/2,012.16 = 837.12/x
  3. Step 3: Cross multiply
    1,458.24x = 2,012.16 × 837.12
  4. Step 4: Simplify right side
    1,458.24x = 1,684,419.38
  5. Step 5: Solve for x
    x = 1,684,419.38/1,458.24
  6. Step 6: Final answer
    x = 1,155.10

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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.