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Finding the Fourth Proportional to 1,223.93, 1,826.93 and 1,051.70

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Solution

The fourth proportional to 1,223.93, 1,826.93 and 1,051.70 is: 1,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.93 : 1,826.93 = 1,051.70 : x
  2. Step 2: Convert to fraction form
    1,223.93/1,826.93 = 1,051.70/x
  3. Step 3: Cross multiply
    1,223.93x = 1,826.93 × 1,051.70
  4. Step 4: Simplify right side
    1,223.93x = 1,921,382.28
  5. Step 5: Solve for x
    x = 1,921,382.28/1,223.93
  6. Step 6: Final answer
    x = 1,569.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.