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Finding the Fourth Proportional to 30,383.50, 45,575.04 and 9,323.50

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Solution

The fourth proportional to 30,383.50, 45,575.04 and 9,323.50 is: 13,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.50 : 45,575.04 = 9,323.50 : x
  2. Step 2: Convert to fraction form
    30,383.50/45,575.04 = 9,323.50/x
  3. Step 3: Cross multiply
    30,383.50x = 45,575.04 × 9,323.50
  4. Step 4: Simplify right side
    30,383.50x = 424,918,885.44
  5. Step 5: Solve for x
    x = 424,918,885.44/30,383.50
  6. Step 6: Final answer
    x = 13,985.19

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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.