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Finding the Fourth Proportional to 11,410.39, 15,746.31 and 6,442.39

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Solution

The fourth proportional to 11,410.39, 15,746.31 and 6,442.39 is: 8,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.39 : 15,746.31 = 6,442.39 : x
  2. Step 2: Convert to fraction form
    11,410.39/15,746.31 = 6,442.39/x
  3. Step 3: Cross multiply
    11,410.39x = 15,746.31 × 6,442.39
  4. Step 4: Simplify right side
    11,410.39x = 101,443,870.08
  5. Step 5: Solve for x
    x = 101,443,870.08/11,410.39
  6. Step 6: Final answer
    x = 8,890.48

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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.