Home / 1,458.21-2,011.29-1,410

Finding the Fourth Proportional to 1,458.21, 2,011.29 and 1,410

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Solution

The fourth proportional to 1,458.21, 2,011.29 and 1,410 is: 1,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.21 : 2,011.29 = 1,410 : x
  2. Step 2: Convert to fraction form
    1,458.21/2,011.29 = 1,410/x
  3. Step 3: Cross multiply
    1,458.21x = 2,011.29 × 1,410
  4. Step 4: Simplify right side
    1,458.21x = 2,835,918.90
  5. Step 5: Solve for x
    x = 2,835,918.90/1,458.21
  6. Step 6: Final answer
    x = 1,944.79

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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.