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Finding the Fourth Proportional to 9,030.68, 13,538.72 and 8,301.68

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Solution

The fourth proportional to 9,030.68, 13,538.72 and 8,301.68 is: 12,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.68 : 13,538.72 = 8,301.68 : x
  2. Step 2: Convert to fraction form
    9,030.68/13,538.72 = 8,301.68/x
  3. Step 3: Cross multiply
    9,030.68x = 13,538.72 × 8,301.68
  4. Step 4: Simplify right side
    9,030.68x = 112,394,074.11
  5. Step 5: Solve for x
    x = 112,394,074.11/9,030.68
  6. Step 6: Final answer
    x = 12,445.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.