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Finding the Fourth Proportional to 5,968.68, 8,953.01 and 1,586.13

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Solution

The fourth proportional to 5,968.68, 8,953.01 and 1,586.13 is: 2,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.68 : 8,953.01 = 1,586.13 : x
  2. Step 2: Convert to fraction form
    5,968.68/8,953.01 = 1,586.13/x
  3. Step 3: Cross multiply
    5,968.68x = 8,953.01 × 1,586.13
  4. Step 4: Simplify right side
    5,968.68x = 14,200,674.02
  5. Step 5: Solve for x
    x = 14,200,674.02/5,968.68
  6. Step 6: Final answer
    x = 2,379.20

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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.