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Finding the Fourth Proportional to 30,458.54, 45,678.09 and 9,677.18

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Solution

The fourth proportional to 30,458.54, 45,678.09 and 9,677.18 is: 14,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.54 : 45,678.09 = 9,677.18 : x
  2. Step 2: Convert to fraction form
    30,458.54/45,678.09 = 9,677.18/x
  3. Step 3: Cross multiply
    30,458.54x = 45,678.09 × 9,677.18
  4. Step 4: Simplify right side
    30,458.54x = 442,035,098.99
  5. Step 5: Solve for x
    x = 442,035,098.99/30,458.54
  6. Step 6: Final answer
    x = 14,512.68

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1.5x scale

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.