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Finding the Fourth Proportional to 13,457.67, 20,312.91 and 13,457.67

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Solution

The fourth proportional to 13,457.67, 20,312.91 and 13,457.67 is: 20,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.67 : 20,312.91 = 13,457.67 : x
  2. Step 2: Convert to fraction form
    13,457.67/20,312.91 = 13,457.67/x
  3. Step 3: Cross multiply
    13,457.67x = 20,312.91 × 13,457.67
  4. Step 4: Simplify right side
    13,457.67x = 273,364,477.61
  5. Step 5: Solve for x
    x = 273,364,477.61/13,457.67
  6. Step 6: Final answer
    x = 20,312.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.