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Finding the Fourth Proportional to 30,370.98, 45,557.86 and 9,309.50

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Solution

The fourth proportional to 30,370.98, 45,557.86 and 9,309.50 is: 13,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.98 : 45,557.86 = 9,309.50 : x
  2. Step 2: Convert to fraction form
    30,370.98/45,557.86 = 9,309.50/x
  3. Step 3: Cross multiply
    30,370.98x = 45,557.86 × 9,309.50
  4. Step 4: Simplify right side
    30,370.98x = 424,120,897.67
  5. Step 5: Solve for x
    x = 424,120,897.67/30,370.98
  6. Step 6: Final answer
    x = 13,964.68

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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.