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Finding the Fourth Proportional to 30,597.30, 45,897.08 and 8,412.41

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Solution

The fourth proportional to 30,597.30, 45,897.08 and 8,412.41 is: 12,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.30 : 45,897.08 = 8,412.41 : x
  2. Step 2: Convert to fraction form
    30,597.30/45,897.08 = 8,412.41/x
  3. Step 3: Cross multiply
    30,597.30x = 45,897.08 × 8,412.41
  4. Step 4: Simplify right side
    30,597.30x = 386,105,054.76
  5. Step 5: Solve for x
    x = 386,105,054.76/30,597.30
  6. Step 6: Final answer
    x = 12,618.93

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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.