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Finding the Fourth Proportional to 2,123.66, 2,930.66 and 1,239.30

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Solution

The fourth proportional to 2,123.66, 2,930.66 and 1,239.30 is: 1,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.66 : 2,930.66 = 1,239.30 : x
  2. Step 2: Convert to fraction form
    2,123.66/2,930.66 = 1,239.30/x
  3. Step 3: Cross multiply
    2,123.66x = 2,930.66 × 1,239.30
  4. Step 4: Simplify right side
    2,123.66x = 3,631,966.94
  5. Step 5: Solve for x
    x = 3,631,966.94/2,123.66
  6. Step 6: Final answer
    x = 1,710.24

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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.