Home / 1,487.94-2,053.28-824.76

Finding the Fourth Proportional to 1,487.94, 2,053.28 and 824.76

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Solution

The fourth proportional to 1,487.94, 2,053.28 and 824.76 is: 1,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.94 : 2,053.28 = 824.76 : x
  2. Step 2: Convert to fraction form
    1,487.94/2,053.28 = 824.76/x
  3. Step 3: Cross multiply
    1,487.94x = 2,053.28 × 824.76
  4. Step 4: Simplify right side
    1,487.94x = 1,693,463.21
  5. Step 5: Solve for x
    x = 1,693,463.21/1,487.94
  6. Step 6: Final answer
    x = 1,138.13

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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.