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Finding the Fourth Proportional to 5,461.53, 8,190.53 and 1,762.89

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Solution

The fourth proportional to 5,461.53, 8,190.53 and 1,762.89 is: 2,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.53 : 8,190.53 = 1,762.89 : x
  2. Step 2: Convert to fraction form
    5,461.53/8,190.53 = 1,762.89/x
  3. Step 3: Cross multiply
    5,461.53x = 8,190.53 × 1,762.89
  4. Step 4: Simplify right side
    5,461.53x = 14,438,994.62
  5. Step 5: Solve for x
    x = 14,438,994.62/5,461.53
  6. Step 6: Final answer
    x = 2,643.77

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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.