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Finding the Fourth Proportional to 35,931.90, 49,582.22 and 20,829.30

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Solution

The fourth proportional to 35,931.90, 49,582.22 and 20,829.30 is: 28,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.90 : 49,582.22 = 20,829.30 : x
  2. Step 2: Convert to fraction form
    35,931.90/49,582.22 = 20,829.30/x
  3. Step 3: Cross multiply
    35,931.90x = 49,582.22 × 20,829.30
  4. Step 4: Simplify right side
    35,931.90x = 1,032,762,935.05
  5. Step 5: Solve for x
    x = 1,032,762,935.05/35,931.90
  6. Step 6: Final answer
    x = 28,742.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.