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Finding the Fourth Proportional to 30,807, 46,211.85 and 10,030.50

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Solution

The fourth proportional to 30,807, 46,211.85 and 10,030.50 is: 15,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 46,211.85 = 10,030.50 : x
  2. Step 2: Convert to fraction form
    30,807/46,211.85 = 10,030.50/x
  3. Step 3: Cross multiply
    30,807x = 46,211.85 × 10,030.50
  4. Step 4: Simplify right side
    30,807x = 463,527,961.43
  5. Step 5: Solve for x
    x = 463,527,961.43/30,807
  6. Step 6: Final answer
    x = 15,046.19

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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.