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Finding the Fourth Proportional to 13,243.16, 18,277.18 and 7,654.16

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Solution

The fourth proportional to 13,243.16, 18,277.18 and 7,654.16 is: 10,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.16 : 18,277.18 = 7,654.16 : x
  2. Step 2: Convert to fraction form
    13,243.16/18,277.18 = 7,654.16/x
  3. Step 3: Cross multiply
    13,243.16x = 18,277.18 × 7,654.16
  4. Step 4: Simplify right side
    13,243.16x = 139,896,330.41
  5. Step 5: Solve for x
    x = 139,896,330.41/13,243.16
  6. Step 6: Final answer
    x = 10,563.67

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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.