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Finding the Fourth Proportional to 6,858.36, 10,287.54 and 4,545

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Solution

The fourth proportional to 6,858.36, 10,287.54 and 4,545 is: 6,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.36 : 10,287.54 = 4,545 : x
  2. Step 2: Convert to fraction form
    6,858.36/10,287.54 = 4,545/x
  3. Step 3: Cross multiply
    6,858.36x = 10,287.54 × 4,545
  4. Step 4: Simplify right side
    6,858.36x = 46,756,869.30
  5. Step 5: Solve for x
    x = 46,756,869.30/6,858.36
  6. Step 6: Final answer
    x = 6,817.50

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1.5x scale

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.