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Finding the Fourth Proportional to 11,258, 15,537 and 6,290.96

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Solution

The fourth proportional to 11,258, 15,537 and 6,290.96 is: 8,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258 : 15,537 = 6,290.96 : x
  2. Step 2: Convert to fraction form
    11,258/15,537 = 6,290.96/x
  3. Step 3: Cross multiply
    11,258x = 15,537 × 6,290.96
  4. Step 4: Simplify right side
    11,258x = 97,742,645.52
  5. Step 5: Solve for x
    x = 97,742,645.52/11,258
  6. Step 6: Final answer
    x = 8,682.06

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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.