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Finding the Fourth Proportional to 14,412.32, 19,889.01 and 7,788.32

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Solution

The fourth proportional to 14,412.32, 19,889.01 and 7,788.32 is: 10,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.32 : 19,889.01 = 7,788.32 : x
  2. Step 2: Convert to fraction form
    14,412.32/19,889.01 = 7,788.32/x
  3. Step 3: Cross multiply
    14,412.32x = 19,889.01 × 7,788.32
  4. Step 4: Simplify right side
    14,412.32x = 154,901,974.36
  5. Step 5: Solve for x
    x = 154,901,974.36/14,412.32
  6. Step 6: Final answer
    x = 10,747.89

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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.