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Finding the Fourth Proportional to 9,893.52, 13,641.48 and 7,897.68

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Solution

The fourth proportional to 9,893.52, 13,641.48 and 7,897.68 is: 10,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.52 : 13,641.48 = 7,897.68 : x
  2. Step 2: Convert to fraction form
    9,893.52/13,641.48 = 7,897.68/x
  3. Step 3: Cross multiply
    9,893.52x = 13,641.48 × 7,897.68
  4. Step 4: Simplify right side
    9,893.52x = 107,736,043.77
  5. Step 5: Solve for x
    x = 107,736,043.77/9,893.52
  6. Step 6: Final answer
    x = 10,889.56

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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.