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Finding the Fourth Proportional to 6,457.50, 9,686.34 and 1,840.50

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Solution

The fourth proportional to 6,457.50, 9,686.34 and 1,840.50 is: 2,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.50 : 9,686.34 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    6,457.50/9,686.34 = 1,840.50/x
  3. Step 3: Cross multiply
    6,457.50x = 9,686.34 × 1,840.50
  4. Step 4: Simplify right side
    6,457.50x = 17,827,708.77
  5. Step 5: Solve for x
    x = 17,827,708.77/6,457.50
  6. Step 6: Final answer
    x = 2,760.78

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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.