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Finding the Fourth Proportional to 14,413, 19,889.94 and 7,789

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Solution

The fourth proportional to 14,413, 19,889.94 and 7,789 is: 10,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413 : 19,889.94 = 7,789 : x
  2. Step 2: Convert to fraction form
    14,413/19,889.94 = 7,789/x
  3. Step 3: Cross multiply
    14,413x = 19,889.94 × 7,789
  4. Step 4: Simplify right side
    14,413x = 154,922,742.66
  5. Step 5: Solve for x
    x = 154,922,742.66/14,413
  6. Step 6: Final answer
    x = 10,748.82

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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.