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Finding the Fourth Proportional to 13,457, 18,570.66 and 7,569

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Solution

The fourth proportional to 13,457, 18,570.66 and 7,569 is: 10,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457 : 18,570.66 = 7,569 : x
  2. Step 2: Convert to fraction form
    13,457/18,570.66 = 7,569/x
  3. Step 3: Cross multiply
    13,457x = 18,570.66 × 7,569
  4. Step 4: Simplify right side
    13,457x = 140,561,325.54
  5. Step 5: Solve for x
    x = 140,561,325.54/13,457
  6. Step 6: Final answer
    x = 10,445.22

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Why These Related Problems?

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