Home / 1,477.21-2,038.57-814.07

Finding the Fourth Proportional to 1,477.21, 2,038.57 and 814.07

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Solution

The fourth proportional to 1,477.21, 2,038.57 and 814.07 is: 1,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.21 : 2,038.57 = 814.07 : x
  2. Step 2: Convert to fraction form
    1,477.21/2,038.57 = 814.07/x
  3. Step 3: Cross multiply
    1,477.21x = 2,038.57 × 814.07
  4. Step 4: Simplify right side
    1,477.21x = 1,659,524.42
  5. Step 5: Solve for x
    x = 1,659,524.42/1,477.21
  6. Step 6: Final answer
    x = 1,123.42

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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.