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Finding the Fourth Proportional to 7,457.74, 10,291.88 and 4,100.64

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Solution

The fourth proportional to 7,457.74, 10,291.88 and 4,100.64 is: 5,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.74 : 10,291.88 = 4,100.64 : x
  2. Step 2: Convert to fraction form
    7,457.74/10,291.88 = 4,100.64/x
  3. Step 3: Cross multiply
    7,457.74x = 10,291.88 × 4,100.64
  4. Step 4: Simplify right side
    7,457.74x = 42,203,294.80
  5. Step 5: Solve for x
    x = 42,203,294.80/7,457.74
  6. Step 6: Final answer
    x = 5,658.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.