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Finding the Fourth Proportional to 30,778.90, 46,254.90 and 18,301.16

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Solution

The fourth proportional to 30,778.90, 46,254.90 and 18,301.16 is: 27,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.90 : 46,254.90 = 18,301.16 : x
  2. Step 2: Convert to fraction form
    30,778.90/46,254.90 = 18,301.16/x
  3. Step 3: Cross multiply
    30,778.90x = 46,254.90 × 18,301.16
  4. Step 4: Simplify right side
    30,778.90x = 846,518,325.68
  5. Step 5: Solve for x
    x = 846,518,325.68/30,778.90
  6. Step 6: Final answer
    x = 27,503.21

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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.