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Finding the Fourth Proportional to 14,428.76, 19,914.80 and 9,120.20

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Solution

The fourth proportional to 14,428.76, 19,914.80 and 9,120.20 is: 12,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.76 : 19,914.80 = 9,120.20 : x
  2. Step 2: Convert to fraction form
    14,428.76/19,914.80 = 9,120.20/x
  3. Step 3: Cross multiply
    14,428.76x = 19,914.80 × 9,120.20
  4. Step 4: Simplify right side
    14,428.76x = 181,626,958.96
  5. Step 5: Solve for x
    x = 181,626,958.96/14,428.76
  6. Step 6: Final answer
    x = 12,587.84

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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.