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Finding the Fourth Proportional to 32,830.89, 49,242.21 and 9,140.21

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Solution

The fourth proportional to 32,830.89, 49,242.21 and 9,140.21 is: 13,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.89 : 49,242.21 = 9,140.21 : x
  2. Step 2: Convert to fraction form
    32,830.89/49,242.21 = 9,140.21/x
  3. Step 3: Cross multiply
    32,830.89x = 49,242.21 × 9,140.21
  4. Step 4: Simplify right side
    32,830.89x = 450,084,140.26
  5. Step 5: Solve for x
    x = 450,084,140.26/32,830.89
  6. Step 6: Final answer
    x = 13,709.17

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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.