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Finding the Fourth Proportional to 5,253, 7,880.85 and 1,790.25

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Solution

The fourth proportional to 5,253, 7,880.85 and 1,790.25 is: 2,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253 : 7,880.85 = 1,790.25 : x
  2. Step 2: Convert to fraction form
    5,253/7,880.85 = 1,790.25/x
  3. Step 3: Cross multiply
    5,253x = 7,880.85 × 1,790.25
  4. Step 4: Simplify right side
    5,253x = 14,108,691.71
  5. Step 5: Solve for x
    x = 14,108,691.71/5,253
  6. Step 6: Final answer
    x = 2,685.84

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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.