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Finding the Fourth Proportional to 14,409.94, 21,614.91 and 5,643.76

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Solution

The fourth proportional to 14,409.94, 21,614.91 and 5,643.76 is: 8,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.94 : 21,614.91 = 5,643.76 : x
  2. Step 2: Convert to fraction form
    14,409.94/21,614.91 = 5,643.76/x
  3. Step 3: Cross multiply
    14,409.94x = 21,614.91 × 5,643.76
  4. Step 4: Simplify right side
    14,409.94x = 121,989,364.46
  5. Step 5: Solve for x
    x = 121,989,364.46/14,409.94
  6. Step 6: Final answer
    x = 8,465.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.