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Finding the Fourth Proportional to 9,897.92, 13,664.64 and 6,877.44

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Solution

The fourth proportional to 9,897.92, 13,664.64 and 6,877.44 is: 9,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.92 : 13,664.64 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    9,897.92/13,664.64 = 6,877.44/x
  3. Step 3: Cross multiply
    9,897.92x = 13,664.64 × 6,877.44
  4. Step 4: Simplify right side
    9,897.92x = 93,977,741.72
  5. Step 5: Solve for x
    x = 93,977,741.72/9,897.92
  6. Step 6: Final answer
    x = 9,494.70

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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.