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Finding the Fourth Proportional to 30,657.67, 45,948.03 and 13,106.86

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Solution

The fourth proportional to 30,657.67, 45,948.03 and 13,106.86 is: 19,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.67 : 45,948.03 = 13,106.86 : x
  2. Step 2: Convert to fraction form
    30,657.67/45,948.03 = 13,106.86/x
  3. Step 3: Cross multiply
    30,657.67x = 45,948.03 × 13,106.86
  4. Step 4: Simplify right side
    30,657.67x = 602,234,396.49
  5. Step 5: Solve for x
    x = 602,234,396.49/30,657.67
  6. Step 6: Final answer
    x = 19,643.84

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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.