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Finding the Fourth Proportional to 13,477.40, 20,213.40 and 6,457.40

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Solution

The fourth proportional to 13,477.40, 20,213.40 and 6,457.40 is: 9,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.40 : 20,213.40 = 6,457.40 : x
  2. Step 2: Convert to fraction form
    13,477.40/20,213.40 = 6,457.40/x
  3. Step 3: Cross multiply
    13,477.40x = 20,213.40 × 6,457.40
  4. Step 4: Simplify right side
    13,477.40x = 130,526,009.16
  5. Step 5: Solve for x
    x = 130,526,009.16/13,477.40
  6. Step 6: Final answer
    x = 9,684.81

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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.