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Finding the Fourth Proportional to 9,421.56, 13,014 and 7,169.76

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Solution

The fourth proportional to 9,421.56, 13,014 and 7,169.76 is: 9,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.56 : 13,014 = 7,169.76 : x
  2. Step 2: Convert to fraction form
    9,421.56/13,014 = 7,169.76/x
  3. Step 3: Cross multiply
    9,421.56x = 13,014 × 7,169.76
  4. Step 4: Simplify right side
    9,421.56x = 93,307,256.64
  5. Step 5: Solve for x
    x = 93,307,256.64/9,421.56
  6. Step 6: Final answer
    x = 9,903.59

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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.