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Finding the Fourth Proportional to 20,271.84, 30,407.55 and 6,420.84

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Solution

The fourth proportional to 20,271.84, 30,407.55 and 6,420.84 is: 9,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.84 : 30,407.55 = 6,420.84 : x
  2. Step 2: Convert to fraction form
    20,271.84/30,407.55 = 6,420.84/x
  3. Step 3: Cross multiply
    20,271.84x = 30,407.55 × 6,420.84
  4. Step 4: Simplify right side
    20,271.84x = 195,242,013.34
  5. Step 5: Solve for x
    x = 195,242,013.34/20,271.84
  6. Step 6: Final answer
    x = 9,631.19

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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.