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Finding the Fourth Proportional to 13,670.56, 20,505.84 and 7,830.88

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Solution

The fourth proportional to 13,670.56, 20,505.84 and 7,830.88 is: 11,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.56 : 20,505.84 = 7,830.88 : x
  2. Step 2: Convert to fraction form
    13,670.56/20,505.84 = 7,830.88/x
  3. Step 3: Cross multiply
    13,670.56x = 20,505.84 × 7,830.88
  4. Step 4: Simplify right side
    13,670.56x = 160,578,772.34
  5. Step 5: Solve for x
    x = 160,578,772.34/13,670.56
  6. Step 6: Final answer
    x = 11,746.32

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1.5x scale

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.