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Finding the Fourth Proportional to 3,607.68, 5,412.12 and 1,762.08

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Solution

The fourth proportional to 3,607.68, 5,412.12 and 1,762.08 is: 2,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.68 : 5,412.12 = 1,762.08 : x
  2. Step 2: Convert to fraction form
    3,607.68/5,412.12 = 1,762.08/x
  3. Step 3: Cross multiply
    3,607.68x = 5,412.12 × 1,762.08
  4. Step 4: Simplify right side
    3,607.68x = 9,536,588.41
  5. Step 5: Solve for x
    x = 9,536,588.41/3,607.68
  6. Step 6: Final answer
    x = 2,643.41

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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.