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Finding the Fourth Proportional to 30,931.68, 46,406.16 and 12,200.16

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Solution

The fourth proportional to 30,931.68, 46,406.16 and 12,200.16 is: 18,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.68 : 46,406.16 = 12,200.16 : x
  2. Step 2: Convert to fraction form
    30,931.68/46,406.16 = 12,200.16/x
  3. Step 3: Cross multiply
    30,931.68x = 46,406.16 × 12,200.16
  4. Step 4: Simplify right side
    30,931.68x = 566,162,576.99
  5. Step 5: Solve for x
    x = 566,162,576.99/30,931.68
  6. Step 6: Final answer
    x = 18,303.65

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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.