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Finding the Fourth Proportional to 2,045.02, 2,822.10 and 1,205.76

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Solution

The fourth proportional to 2,045.02, 2,822.10 and 1,205.76 is: 1,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.02 : 2,822.10 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    2,045.02/2,822.10 = 1,205.76/x
  3. Step 3: Cross multiply
    2,045.02x = 2,822.10 × 1,205.76
  4. Step 4: Simplify right side
    2,045.02x = 3,402,775.30
  5. Step 5: Solve for x
    x = 3,402,775.30/2,045.02
  6. Step 6: Final answer
    x = 1,663.93

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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.