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Finding the Fourth Proportional to 11,175, 15,421.52 and 6,207

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Solution

The fourth proportional to 11,175, 15,421.52 and 6,207 is: 8,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175 : 15,421.52 = 6,207 : x
  2. Step 2: Convert to fraction form
    11,175/15,421.52 = 6,207/x
  3. Step 3: Cross multiply
    11,175x = 15,421.52 × 6,207
  4. Step 4: Simplify right side
    11,175x = 95,721,374.64
  5. Step 5: Solve for x
    x = 95,721,374.64/11,175
  6. Step 6: Final answer
    x = 8,565.67

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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.