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Finding the Fourth Proportional to 7,143.35, 9,858.98 and 6,828.00

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Solution

The fourth proportional to 7,143.35, 9,858.98 and 6,828.00 is: 9,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.35 : 9,858.98 = 6,828.00 : x
  2. Step 2: Convert to fraction form
    7,143.35/9,858.98 = 6,828.00/x
  3. Step 3: Cross multiply
    7,143.35x = 9,858.98 × 6,828.00
  4. Step 4: Simplify right side
    7,143.35x = 67,317,109.94
  5. Step 5: Solve for x
    x = 67,317,109.94/7,143.35
  6. Step 6: Final answer
    x = 9,423.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.