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Finding the Fourth Proportional to 35,457, 53,188.06 and 13,569

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Solution

The fourth proportional to 35,457, 53,188.06 and 13,569 is: 20,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457 : 53,188.06 = 13,569 : x
  2. Step 2: Convert to fraction form
    35,457/53,188.06 = 13,569/x
  3. Step 3: Cross multiply
    35,457x = 53,188.06 × 13,569
  4. Step 4: Simplify right side
    35,457x = 721,708,786.14
  5. Step 5: Solve for x
    x = 721,708,786.14/35,457
  6. Step 6: Final answer
    x = 20,354.48

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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.