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Finding the Fourth Proportional to 9,898.52, 13,648.38 and 7,902.68

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Solution

The fourth proportional to 9,898.52, 13,648.38 and 7,902.68 is: 10,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.52 : 13,648.38 = 7,902.68 : x
  2. Step 2: Convert to fraction form
    9,898.52/13,648.38 = 7,902.68/x
  3. Step 3: Cross multiply
    9,898.52x = 13,648.38 × 7,902.68
  4. Step 4: Simplify right side
    9,898.52x = 107,858,779.66
  5. Step 5: Solve for x
    x = 107,858,779.66/9,898.52
  6. Step 6: Final answer
    x = 10,896.46

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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.