Home / 1,488.09-2,053.53-824.94

Finding the Fourth Proportional to 1,488.09, 2,053.53 and 824.94

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Solution

The fourth proportional to 1,488.09, 2,053.53 and 824.94 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.09 : 2,053.53 = 824.94 : x
  2. Step 2: Convert to fraction form
    1,488.09/2,053.53 = 824.94/x
  3. Step 3: Cross multiply
    1,488.09x = 2,053.53 × 824.94
  4. Step 4: Simplify right side
    1,488.09x = 1,694,039.04
  5. Step 5: Solve for x
    x = 1,694,039.04/1,488.09
  6. Step 6: Final answer
    x = 1,138.40

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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.