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Finding the Fourth Proportional to 14,774.34, 20,390.76 and 8,809.50

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Solution

The fourth proportional to 14,774.34, 20,390.76 and 8,809.50 is: 12,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.34 : 20,390.76 = 8,809.50 : x
  2. Step 2: Convert to fraction form
    14,774.34/20,390.76 = 8,809.50/x
  3. Step 3: Cross multiply
    14,774.34x = 20,390.76 × 8,809.50
  4. Step 4: Simplify right side
    14,774.34x = 179,632,400.22
  5. Step 5: Solve for x
    x = 179,632,400.22/14,774.34
  6. Step 6: Final answer
    x = 12,158.40

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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.