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Finding the Fourth Proportional to 13,345, 18,416.10 and 7,457

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Solution

The fourth proportional to 13,345, 18,416.10 and 7,457 is: 10,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345 : 18,416.10 = 7,457 : x
  2. Step 2: Convert to fraction form
    13,345/18,416.10 = 7,457/x
  3. Step 3: Cross multiply
    13,345x = 18,416.10 × 7,457
  4. Step 4: Simplify right side
    13,345x = 137,328,857.70
  5. Step 5: Solve for x
    x = 137,328,857.70/13,345
  6. Step 6: Final answer
    x = 10,290.66

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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.