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Finding the Fourth Proportional to 30,620.13, 45,946.87 and 11,900.87

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Solution

The fourth proportional to 30,620.13, 45,946.87 and 11,900.87 is: 17,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620.13 : 45,946.87 = 11,900.87 : x
  2. Step 2: Convert to fraction form
    30,620.13/45,946.87 = 11,900.87/x
  3. Step 3: Cross multiply
    30,620.13x = 45,946.87 × 11,900.87
  4. Step 4: Simplify right side
    30,620.13x = 546,807,931.51
  5. Step 5: Solve for x
    x = 546,807,931.51/30,620.13
  6. Step 6: Final answer
    x = 17,857.79

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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.