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Finding the Fourth Proportional to 30,699, 46,048.50 and 9,922.50

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Solution

The fourth proportional to 30,699, 46,048.50 and 9,922.50 is: 14,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699 : 46,048.50 = 9,922.50 : x
  2. Step 2: Convert to fraction form
    30,699/46,048.50 = 9,922.50/x
  3. Step 3: Cross multiply
    30,699x = 46,048.50 × 9,922.50
  4. Step 4: Simplify right side
    30,699x = 456,916,241.25
  5. Step 5: Solve for x
    x = 456,916,241.25/30,699
  6. Step 6: Final answer
    x = 14,883.75

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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.