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Finding the Fourth Proportional to 9,742.40, 14,537.11 and 9,147.27

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Solution

The fourth proportional to 9,742.40, 14,537.11 and 9,147.27 is: 13,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.40 : 14,537.11 = 9,147.27 : x
  2. Step 2: Convert to fraction form
    9,742.40/14,537.11 = 9,147.27/x
  3. Step 3: Cross multiply
    9,742.40x = 14,537.11 × 9,147.27
  4. Step 4: Simplify right side
    9,742.40x = 132,974,870.19
  5. Step 5: Solve for x
    x = 132,974,870.19/9,742.40
  6. Step 6: Final answer
    x = 13,649.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.