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Finding the Fourth Proportional to 9,102.66, 12,558.62 and 7,421.16

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Solution

The fourth proportional to 9,102.66, 12,558.62 and 7,421.16 is: 10,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.66 : 12,558.62 = 7,421.16 : x
  2. Step 2: Convert to fraction form
    9,102.66/12,558.62 = 7,421.16/x
  3. Step 3: Cross multiply
    9,102.66x = 12,558.62 × 7,421.16
  4. Step 4: Simplify right side
    9,102.66x = 93,199,528.40
  5. Step 5: Solve for x
    x = 93,199,528.40/9,102.66
  6. Step 6: Final answer
    x = 10,238.71

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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.