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Finding the Fourth Proportional to 4,457.79, 6,686.51 and 1,126

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Solution

The fourth proportional to 4,457.79, 6,686.51 and 1,126 is: 1,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.79 : 6,686.51 = 1,126 : x
  2. Step 2: Convert to fraction form
    4,457.79/6,686.51 = 1,126/x
  3. Step 3: Cross multiply
    4,457.79x = 6,686.51 × 1,126
  4. Step 4: Simplify right side
    4,457.79x = 7,529,010.26
  5. Step 5: Solve for x
    x = 7,529,010.26/4,457.79
  6. Step 6: Final answer
    x = 1,688.96

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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.