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Finding the Fourth Proportional to 12,220.16, 18,330.18 and 10,384.16

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Solution

The fourth proportional to 12,220.16, 18,330.18 and 10,384.16 is: 15,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.16 : 18,330.18 = 10,384.16 : x
  2. Step 2: Convert to fraction form
    12,220.16/18,330.18 = 10,384.16/x
  3. Step 3: Cross multiply
    12,220.16x = 18,330.18 × 10,384.16
  4. Step 4: Simplify right side
    12,220.16x = 190,343,521.95
  5. Step 5: Solve for x
    x = 190,343,521.95/12,220.16
  6. Step 6: Final answer
    x = 15,576.19

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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.