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Finding the Fourth Proportional to 30,747.40, 46,121.01 and 9,689.20

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Solution

The fourth proportional to 30,747.40, 46,121.01 and 9,689.20 is: 14,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.40 : 46,121.01 = 9,689.20 : x
  2. Step 2: Convert to fraction form
    30,747.40/46,121.01 = 9,689.20/x
  3. Step 3: Cross multiply
    30,747.40x = 46,121.01 × 9,689.20
  4. Step 4: Simplify right side
    30,747.40x = 446,875,690.09
  5. Step 5: Solve for x
    x = 446,875,690.09/30,747.40
  6. Step 6: Final answer
    x = 14,533.77

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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.