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Finding the Fourth Proportional to 4,327, 6,491.64 and 1,554.28

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Solution

The fourth proportional to 4,327, 6,491.64 and 1,554.28 is: 2,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327 : 6,491.64 = 1,554.28 : x
  2. Step 2: Convert to fraction form
    4,327/6,491.64 = 1,554.28/x
  3. Step 3: Cross multiply
    4,327x = 6,491.64 × 1,554.28
  4. Step 4: Simplify right side
    4,327x = 10,089,826.22
  5. Step 5: Solve for x
    x = 10,089,826.22/4,327
  6. Step 6: Final answer
    x = 2,331.83

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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.