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Finding the Fourth Proportional to 14,231.60, 19,646.76 and 9,763.60

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Solution

The fourth proportional to 14,231.60, 19,646.76 and 9,763.60 is: 13,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.60 : 19,646.76 = 9,763.60 : x
  2. Step 2: Convert to fraction form
    14,231.60/19,646.76 = 9,763.60/x
  3. Step 3: Cross multiply
    14,231.60x = 19,646.76 × 9,763.60
  4. Step 4: Simplify right side
    14,231.60x = 191,823,105.94
  5. Step 5: Solve for x
    x = 191,823,105.94/14,231.60
  6. Step 6: Final answer
    x = 13,478.67

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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.