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Finding the Fourth Proportional to 5,790, 8,685.04 and 1,407.48

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Solution

The fourth proportional to 5,790, 8,685.04 and 1,407.48 is: 2,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 8,685.04 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    5,790/8,685.04 = 1,407.48/x
  3. Step 3: Cross multiply
    5,790x = 8,685.04 × 1,407.48
  4. Step 4: Simplify right side
    5,790x = 12,224,020.10
  5. Step 5: Solve for x
    x = 12,224,020.10/5,790
  6. Step 6: Final answer
    x = 2,111.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.