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Finding the Fourth Proportional to 15,838.94, 21,860.04 and 9,123.26

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Solution

The fourth proportional to 15,838.94, 21,860.04 and 9,123.26 is: 12,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.94 : 21,860.04 = 9,123.26 : x
  2. Step 2: Convert to fraction form
    15,838.94/21,860.04 = 9,123.26/x
  3. Step 3: Cross multiply
    15,838.94x = 21,860.04 × 9,123.26
  4. Step 4: Simplify right side
    15,838.94x = 199,434,828.53
  5. Step 5: Solve for x
    x = 199,434,828.53/15,838.94
  6. Step 6: Final answer
    x = 12,591.43

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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.