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Finding the Fourth Proportional to 3,762.50, 5,646.62 and 1,681.70

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Solution

The fourth proportional to 3,762.50, 5,646.62 and 1,681.70 is: 2,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.50 : 5,646.62 = 1,681.70 : x
  2. Step 2: Convert to fraction form
    3,762.50/5,646.62 = 1,681.70/x
  3. Step 3: Cross multiply
    3,762.50x = 5,646.62 × 1,681.70
  4. Step 4: Simplify right side
    3,762.50x = 9,495,896.83
  5. Step 5: Solve for x
    x = 9,495,896.83/3,762.50
  6. Step 6: Final answer
    x = 2,523.83

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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.