Home / 1,477.16-2,038.49-814.00

Finding the Fourth Proportional to 1,477.16, 2,038.49 and 814.00

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Solution

The fourth proportional to 1,477.16, 2,038.49 and 814.00 is: 1,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.16 : 2,038.49 = 814.00 : x
  2. Step 2: Convert to fraction form
    1,477.16/2,038.49 = 814.00/x
  3. Step 3: Cross multiply
    1,477.16x = 2,038.49 × 814.00
  4. Step 4: Simplify right side
    1,477.16x = 1,659,328.57
  5. Step 5: Solve for x
    x = 1,659,328.57/1,477.16
  6. Step 6: Final answer
    x = 1,123.32

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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.