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Finding the Fourth Proportional to 35,823.40, 53,745.90 and 19,191.40

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Solution

The fourth proportional to 35,823.40, 53,745.90 and 19,191.40 is: 28,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823.40 : 53,745.90 = 19,191.40 : x
  2. Step 2: Convert to fraction form
    35,823.40/53,745.90 = 19,191.40/x
  3. Step 3: Cross multiply
    35,823.40x = 53,745.90 × 19,191.40
  4. Step 4: Simplify right side
    35,823.40x = 1,031,459,065.26
  5. Step 5: Solve for x
    x = 1,031,459,065.26/35,823.40
  6. Step 6: Final answer
    x = 28,792.89

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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.