Home / 1,509.32-2,080.37-1,011.78

Finding the Fourth Proportional to 1,509.32, 2,080.37 and 1,011.78

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Solution

The fourth proportional to 1,509.32, 2,080.37 and 1,011.78 is: 1,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.32 : 2,080.37 = 1,011.78 : x
  2. Step 2: Convert to fraction form
    1,509.32/2,080.37 = 1,011.78/x
  3. Step 3: Cross multiply
    1,509.32x = 2,080.37 × 1,011.78
  4. Step 4: Simplify right side
    1,509.32x = 2,104,876.76
  5. Step 5: Solve for x
    x = 2,104,876.76/1,509.32
  6. Step 6: Final answer
    x = 1,394.59

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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.