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Finding the Fourth Proportional to 16,525.87, 24,783.55 and 5,430

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Solution

The fourth proportional to 16,525.87, 24,783.55 and 5,430 is: 8,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.87 : 24,783.55 = 5,430 : x
  2. Step 2: Convert to fraction form
    16,525.87/24,783.55 = 5,430/x
  3. Step 3: Cross multiply
    16,525.87x = 24,783.55 × 5,430
  4. Step 4: Simplify right side
    16,525.87x = 134,574,676.50
  5. Step 5: Solve for x
    x = 134,574,676.50/16,525.87
  6. Step 6: Final answer
    x = 8,143.27

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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.