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Finding the Fourth Proportional to 30,553.60, 45,815.28 and 9,774.40

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Solution

The fourth proportional to 30,553.60, 45,815.28 and 9,774.40 is: 14,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.60 : 45,815.28 = 9,774.40 : x
  2. Step 2: Convert to fraction form
    30,553.60/45,815.28 = 9,774.40/x
  3. Step 3: Cross multiply
    30,553.60x = 45,815.28 × 9,774.40
  4. Step 4: Simplify right side
    30,553.60x = 447,816,872.83
  5. Step 5: Solve for x
    x = 447,816,872.83/30,553.60
  6. Step 6: Final answer
    x = 14,656.76

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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.