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Finding the Fourth Proportional to 5,990.34, 8,986.68 and 1,830.54

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Solution

The fourth proportional to 5,990.34, 8,986.68 and 1,830.54 is: 2,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.34 : 8,986.68 = 1,830.54 : x
  2. Step 2: Convert to fraction form
    5,990.34/8,986.68 = 1,830.54/x
  3. Step 3: Cross multiply
    5,990.34x = 8,986.68 × 1,830.54
  4. Step 4: Simplify right side
    5,990.34x = 16,450,477.21
  5. Step 5: Solve for x
    x = 16,450,477.21/5,990.34
  6. Step 6: Final answer
    x = 2,746.17

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1.5x scale

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.