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Finding the Fourth Proportional to 15,811.04, 21,819.20 and 10,222

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Solution

The fourth proportional to 15,811.04, 21,819.20 and 10,222 is: 14,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.04 : 21,819.20 = 10,222 : x
  2. Step 2: Convert to fraction form
    15,811.04/21,819.20 = 10,222/x
  3. Step 3: Cross multiply
    15,811.04x = 21,819.20 × 10,222
  4. Step 4: Simplify right side
    15,811.04x = 223,035,862.40
  5. Step 5: Solve for x
    x = 223,035,862.40/15,811.04
  6. Step 6: Final answer
    x = 14,106.34

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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.