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Finding the Fourth Proportional to 14,409.95, 19,885.73 and 7,785.95

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Solution

The fourth proportional to 14,409.95, 19,885.73 and 7,785.95 is: 10,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.95 : 19,885.73 = 7,785.95 : x
  2. Step 2: Convert to fraction form
    14,409.95/19,885.73 = 7,785.95/x
  3. Step 3: Cross multiply
    14,409.95x = 19,885.73 × 7,785.95
  4. Step 4: Simplify right side
    14,409.95x = 154,829,161.14
  5. Step 5: Solve for x
    x = 154,829,161.14/14,409.95
  6. Step 6: Final answer
    x = 10,744.60

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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.