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Finding the Fourth Proportional to 30,538.83, 45,779.09 and 9,748.83

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Solution

The fourth proportional to 30,538.83, 45,779.09 and 9,748.83 is: 14,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.83 : 45,779.09 = 9,748.83 : x
  2. Step 2: Convert to fraction form
    30,538.83/45,779.09 = 9,748.83/x
  3. Step 3: Cross multiply
    30,538.83x = 45,779.09 × 9,748.83
  4. Step 4: Simplify right side
    30,538.83x = 446,292,517.22
  5. Step 5: Solve for x
    x = 446,292,517.22/30,538.83
  6. Step 6: Final answer
    x = 14,613.94

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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.