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Finding the Fourth Proportional to 1,477.61, 2,039.12 and 814.45

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Solution

The fourth proportional to 1,477.61, 2,039.12 and 814.45 is: 1,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.61 : 2,039.12 = 814.45 : x
  2. Step 2: Convert to fraction form
    1,477.61/2,039.12 = 814.45/x
  3. Step 3: Cross multiply
    1,477.61x = 2,039.12 × 814.45
  4. Step 4: Simplify right side
    1,477.61x = 1,660,758.22
  5. Step 5: Solve for x
    x = 1,660,758.22/1,477.61
  6. Step 6: Final answer
    x = 1,123.95

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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.