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Finding the Fourth Proportional to 30,972.83, 46,455.27 and 9,911.11

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Solution

The fourth proportional to 30,972.83, 46,455.27 and 9,911.11 is: 14,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.83 : 46,455.27 = 9,911.11 : x
  2. Step 2: Convert to fraction form
    30,972.83/46,455.27 = 9,911.11/x
  3. Step 3: Cross multiply
    30,972.83x = 46,455.27 × 9,911.11
  4. Step 4: Simplify right side
    30,972.83x = 460,423,280.60
  5. Step 5: Solve for x
    x = 460,423,280.60/30,972.83
  6. Step 6: Final answer
    x = 14,865.39

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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.