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Finding the Fourth Proportional to 13,654.85, 20,482.20 and 7,807.32

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Solution

The fourth proportional to 13,654.85, 20,482.20 and 7,807.32 is: 11,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.85 : 20,482.20 = 7,807.32 : x
  2. Step 2: Convert to fraction form
    13,654.85/20,482.20 = 7,807.32/x
  3. Step 3: Cross multiply
    13,654.85x = 20,482.20 × 7,807.32
  4. Step 4: Simplify right side
    13,654.85x = 159,911,089.70
  5. Step 5: Solve for x
    x = 159,911,089.70/13,654.85
  6. Step 6: Final answer
    x = 11,710.94

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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.