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Finding the Fourth Proportional to 14,783.58, 20,406.87 and 9,193.50

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Solution

The fourth proportional to 14,783.58, 20,406.87 and 9,193.50 is: 12,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.58 : 20,406.87 = 9,193.50 : x
  2. Step 2: Convert to fraction form
    14,783.58/20,406.87 = 9,193.50/x
  3. Step 3: Cross multiply
    14,783.58x = 20,406.87 × 9,193.50
  4. Step 4: Simplify right side
    14,783.58x = 187,610,559.35
  5. Step 5: Solve for x
    x = 187,610,559.35/14,783.58
  6. Step 6: Final answer
    x = 12,690.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.