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Finding the Fourth Proportional to 12,271.20, 16,580.70 and 12,271.20

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Solution

The fourth proportional to 12,271.20, 16,580.70 and 12,271.20 is: 16,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.20 : 16,580.70 = 12,271.20 : x
  2. Step 2: Convert to fraction form
    12,271.20/16,580.70 = 12,271.20/x
  3. Step 3: Cross multiply
    12,271.20x = 16,580.70 × 12,271.20
  4. Step 4: Simplify right side
    12,271.20x = 203,465,085.84
  5. Step 5: Solve for x
    x = 203,465,085.84/12,271.20
  6. Step 6: Final answer
    x = 16,580.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.