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Finding the Fourth Proportional to 30,590.70, 45,881.01 and 9,811.50

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Solution

The fourth proportional to 30,590.70, 45,881.01 and 9,811.50 is: 14,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.70 : 45,881.01 = 9,811.50 : x
  2. Step 2: Convert to fraction form
    30,590.70/45,881.01 = 9,811.50/x
  3. Step 3: Cross multiply
    30,590.70x = 45,881.01 × 9,811.50
  4. Step 4: Simplify right side
    30,590.70x = 450,161,529.62
  5. Step 5: Solve for x
    x = 450,161,529.62/30,590.70
  6. Step 6: Final answer
    x = 14,715.63

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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.