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Finding the Fourth Proportional to 14,208.64, 19,606.81 and 7,835.21

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Solution

The fourth proportional to 14,208.64, 19,606.81 and 7,835.21 is: 10,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.64 : 19,606.81 = 7,835.21 : x
  2. Step 2: Convert to fraction form
    14,208.64/19,606.81 = 7,835.21/x
  3. Step 3: Cross multiply
    14,208.64x = 19,606.81 × 7,835.21
  4. Step 4: Simplify right side
    14,208.64x = 153,623,473.78
  5. Step 5: Solve for x
    x = 153,623,473.78/14,208.64
  6. Step 6: Final answer
    x = 10,811.98

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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.