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Finding the Fourth Proportional to 14,409.56, 19,885.21 and 7,785.56

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Solution

The fourth proportional to 14,409.56, 19,885.21 and 7,785.56 is: 10,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.56 : 19,885.21 = 7,785.56 : x
  2. Step 2: Convert to fraction form
    14,409.56/19,885.21 = 7,785.56/x
  3. Step 3: Cross multiply
    14,409.56x = 19,885.21 × 7,785.56
  4. Step 4: Simplify right side
    14,409.56x = 154,817,525.82
  5. Step 5: Solve for x
    x = 154,817,525.82/14,409.56
  6. Step 6: Final answer
    x = 10,744.08

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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.