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Finding the Fourth Proportional to 8,533.64, 12,783.18 and 4,421

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Solution

The fourth proportional to 8,533.64, 12,783.18 and 4,421 is: 6,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.64 : 12,783.18 = 4,421 : x
  2. Step 2: Convert to fraction form
    8,533.64/12,783.18 = 4,421/x
  3. Step 3: Cross multiply
    8,533.64x = 12,783.18 × 4,421
  4. Step 4: Simplify right side
    8,533.64x = 56,514,438.78
  5. Step 5: Solve for x
    x = 56,514,438.78/8,533.64
  6. Step 6: Final answer
    x = 6,622.55

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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.