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Finding the Fourth Proportional to 30,983.88, 46,459.35 and 12,263.16

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Solution

The fourth proportional to 30,983.88, 46,459.35 and 12,263.16 is: 18,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.88 : 46,459.35 = 12,263.16 : x
  2. Step 2: Convert to fraction form
    30,983.88/46,459.35 = 12,263.16/x
  3. Step 3: Cross multiply
    30,983.88x = 46,459.35 × 12,263.16
  4. Step 4: Simplify right side
    30,983.88x = 569,738,442.55
  5. Step 5: Solve for x
    x = 569,738,442.55/30,983.88
  6. Step 6: Final answer
    x = 18,388.22

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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.