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Finding the Fourth Proportional to 30,930.99, 46,373.74 and 9,858.90

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Solution

The fourth proportional to 30,930.99, 46,373.74 and 9,858.90 is: 14,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.99 : 46,373.74 = 9,858.90 : x
  2. Step 2: Convert to fraction form
    30,930.99/46,373.74 = 9,858.90/x
  3. Step 3: Cross multiply
    30,930.99x = 46,373.74 × 9,858.90
  4. Step 4: Simplify right side
    30,930.99x = 457,194,065.29
  5. Step 5: Solve for x
    x = 457,194,065.29/30,930.99
  6. Step 6: Final answer
    x = 14,781.10

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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.