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Finding the Fourth Proportional to 12,300, 18,533.81 and 10,957.32

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Solution

The fourth proportional to 12,300, 18,533.81 and 10,957.32 is: 16,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300 : 18,533.81 = 10,957.32 : x
  2. Step 2: Convert to fraction form
    12,300/18,533.81 = 10,957.32/x
  3. Step 3: Cross multiply
    12,300x = 18,533.81 × 10,957.32
  4. Step 4: Simplify right side
    12,300x = 203,080,832.20
  5. Step 5: Solve for x
    x = 203,080,832.20/12,300
  6. Step 6: Final answer
    x = 16,510.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.