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Finding the Fourth Proportional to 30,582, 45,879.60 and 9,521.61

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Solution

The fourth proportional to 30,582, 45,879.60 and 9,521.61 is: 14,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 45,879.60 = 9,521.61 : x
  2. Step 2: Convert to fraction form
    30,582/45,879.60 = 9,521.61/x
  3. Step 3: Cross multiply
    30,582x = 45,879.60 × 9,521.61
  4. Step 4: Simplify right side
    30,582x = 436,847,658.16
  5. Step 5: Solve for x
    x = 436,847,658.16/30,582
  6. Step 6: Final answer
    x = 14,284.47

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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.