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Finding the Fourth Proportional to 7,457.86, 10,291.89 and 4,100.89

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Solution

The fourth proportional to 7,457.86, 10,291.89 and 4,100.89 is: 5,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.86 : 10,291.89 = 4,100.89 : x
  2. Step 2: Convert to fraction form
    7,457.86/10,291.89 = 4,100.89/x
  3. Step 3: Cross multiply
    7,457.86x = 10,291.89 × 4,100.89
  4. Step 4: Simplify right side
    7,457.86x = 42,205,933.26
  5. Step 5: Solve for x
    x = 42,205,933.26/7,457.86
  6. Step 6: Final answer
    x = 5,659.25

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1.5x scale

Why These Related Problems?

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