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Finding the Fourth Proportional to 6,457.36, 9,686.40 and 1,840

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Solution

The fourth proportional to 6,457.36, 9,686.40 and 1,840 is: 2,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.36 : 9,686.40 = 1,840 : x
  2. Step 2: Convert to fraction form
    6,457.36/9,686.40 = 1,840/x
  3. Step 3: Cross multiply
    6,457.36x = 9,686.40 × 1,840
  4. Step 4: Simplify right side
    6,457.36x = 17,822,976
  5. Step 5: Solve for x
    x = 17,822,976/6,457.36
  6. Step 6: Final answer
    x = 2,760.10

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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.