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Finding the Fourth Proportional to 22,373.76, 30,822.40 and 15,646.80

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Solution

The fourth proportional to 22,373.76, 30,822.40 and 15,646.80 is: 21,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373.76 : 30,822.40 = 15,646.80 : x
  2. Step 2: Convert to fraction form
    22,373.76/30,822.40 = 15,646.80/x
  3. Step 3: Cross multiply
    22,373.76x = 30,822.40 × 15,646.80
  4. Step 4: Simplify right side
    22,373.76x = 482,271,928.32
  5. Step 5: Solve for x
    x = 482,271,928.32/22,373.76
  6. Step 6: Final answer
    x = 21,555.25

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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.