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Finding the Fourth Proportional to 14,412.50, 19,889.26 and 7,788.50

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Solution

The fourth proportional to 14,412.50, 19,889.26 and 7,788.50 is: 10,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.50 : 19,889.26 = 7,788.50 : x
  2. Step 2: Convert to fraction form
    14,412.50/19,889.26 = 7,788.50/x
  3. Step 3: Cross multiply
    14,412.50x = 19,889.26 × 7,788.50
  4. Step 4: Simplify right side
    14,412.50x = 154,907,501.51
  5. Step 5: Solve for x
    x = 154,907,501.51/14,412.50
  6. Step 6: Final answer
    x = 10,748.14

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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.