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Finding the Fourth Proportional to 30,046, 45,069.62 and 9,269.50

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Solution

The fourth proportional to 30,046, 45,069.62 and 9,269.50 is: 13,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046 : 45,069.62 = 9,269.50 : x
  2. Step 2: Convert to fraction form
    30,046/45,069.62 = 9,269.50/x
  3. Step 3: Cross multiply
    30,046x = 45,069.62 × 9,269.50
  4. Step 4: Simplify right side
    30,046x = 417,772,842.59
  5. Step 5: Solve for x
    x = 417,772,842.59/30,046
  6. Step 6: Final answer
    x = 13,904.44

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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.