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Finding the Fourth Proportional to 4,971.76, 7,457.47 and 1,274.02

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Solution

The fourth proportional to 4,971.76, 7,457.47 and 1,274.02 is: 1,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.76 : 7,457.47 = 1,274.02 : x
  2. Step 2: Convert to fraction form
    4,971.76/7,457.47 = 1,274.02/x
  3. Step 3: Cross multiply
    4,971.76x = 7,457.47 × 1,274.02
  4. Step 4: Simplify right side
    4,971.76x = 9,500,965.93
  5. Step 5: Solve for x
    x = 9,500,965.93/4,971.76
  6. Step 6: Final answer
    x = 1,910.99

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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.