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Finding the Fourth Proportional to 9,876.05, 13,638.05 and 6,345.41

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Solution

The fourth proportional to 9,876.05, 13,638.05 and 6,345.41 is: 8,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.05 : 13,638.05 = 6,345.41 : x
  2. Step 2: Convert to fraction form
    9,876.05/13,638.05 = 6,345.41/x
  3. Step 3: Cross multiply
    9,876.05x = 13,638.05 × 6,345.41
  4. Step 4: Simplify right side
    9,876.05x = 86,539,021.22
  5. Step 5: Solve for x
    x = 86,539,021.22/9,876.05
  6. Step 6: Final answer
    x = 8,762.51

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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.