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Finding the Fourth Proportional to 5,614.50, 8,422.10 and 1,718.94

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Solution

The fourth proportional to 5,614.50, 8,422.10 and 1,718.94 is: 2,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.50 : 8,422.10 = 1,718.94 : x
  2. Step 2: Convert to fraction form
    5,614.50/8,422.10 = 1,718.94/x
  3. Step 3: Cross multiply
    5,614.50x = 8,422.10 × 1,718.94
  4. Step 4: Simplify right side
    5,614.50x = 14,477,075.98
  5. Step 5: Solve for x
    x = 14,477,075.98/5,614.50
  6. Step 6: Final answer
    x = 2,578.52

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Half scale
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Double scale
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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.