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Finding the Fourth Proportional to 1,141, 1,703.06 and 1,113.37

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Solution

The fourth proportional to 1,141, 1,703.06 and 1,113.37 is: 1,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141 : 1,703.06 = 1,113.37 : x
  2. Step 2: Convert to fraction form
    1,141/1,703.06 = 1,113.37/x
  3. Step 3: Cross multiply
    1,141x = 1,703.06 × 1,113.37
  4. Step 4: Simplify right side
    1,141x = 1,896,135.91
  5. Step 5: Solve for x
    x = 1,896,135.91/1,141
  6. Step 6: Final answer
    x = 1,661.82

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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.