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Finding the Fourth Proportional to 1,477.36, 2,038.80 and 814.22

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Solution

The fourth proportional to 1,477.36, 2,038.80 and 814.22 is: 1,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.36 : 2,038.80 = 814.22 : x
  2. Step 2: Convert to fraction form
    1,477.36/2,038.80 = 814.22/x
  3. Step 3: Cross multiply
    1,477.36x = 2,038.80 × 814.22
  4. Step 4: Simplify right side
    1,477.36x = 1,660,031.74
  5. Step 5: Solve for x
    x = 1,660,031.74/1,477.36
  6. Step 6: Final answer
    x = 1,123.65

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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.