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Finding the Fourth Proportional to 30,531.97, 45,798 and 8,345.35

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Solution

The fourth proportional to 30,531.97, 45,798 and 8,345.35 is: 12,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.97 : 45,798 = 8,345.35 : x
  2. Step 2: Convert to fraction form
    30,531.97/45,798 = 8,345.35/x
  3. Step 3: Cross multiply
    30,531.97x = 45,798 × 8,345.35
  4. Step 4: Simplify right side
    30,531.97x = 382,200,339.30
  5. Step 5: Solve for x
    x = 382,200,339.30/30,531.97
  6. Step 6: Final answer
    x = 12,518.04

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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.