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Finding the Fourth Proportional to 1,409.46, 1,946.76 and 1,035.90

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Solution

The fourth proportional to 1,409.46, 1,946.76 and 1,035.90 is: 1,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.46 : 1,946.76 = 1,035.90 : x
  2. Step 2: Convert to fraction form
    1,409.46/1,946.76 = 1,035.90/x
  3. Step 3: Cross multiply
    1,409.46x = 1,946.76 × 1,035.90
  4. Step 4: Simplify right side
    1,409.46x = 2,016,648.68
  5. Step 5: Solve for x
    x = 2,016,648.68/1,409.46
  6. Step 6: Final answer
    x = 1,430.80

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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.