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Finding the Fourth Proportional to 4,971.71, 7,457.54 and 1,687.12

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Solution

The fourth proportional to 4,971.71, 7,457.54 and 1,687.12 is: 2,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.71 : 7,457.54 = 1,687.12 : x
  2. Step 2: Convert to fraction form
    4,971.71/7,457.54 = 1,687.12/x
  3. Step 3: Cross multiply
    4,971.71x = 7,457.54 × 1,687.12
  4. Step 4: Simplify right side
    4,971.71x = 12,581,737.81
  5. Step 5: Solve for x
    x = 12,581,737.81/4,971.71
  6. Step 6: Final answer
    x = 2,530.66

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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.