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Finding the Fourth Proportional to 13,358, 18,434.38 and 7,389.80

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Solution

The fourth proportional to 13,358, 18,434.38 and 7,389.80 is: 10,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358 : 18,434.38 = 7,389.80 : x
  2. Step 2: Convert to fraction form
    13,358/18,434.38 = 7,389.80/x
  3. Step 3: Cross multiply
    13,358x = 18,434.38 × 7,389.80
  4. Step 4: Simplify right side
    13,358x = 136,226,381.32
  5. Step 5: Solve for x
    x = 136,226,381.32/13,358
  6. Step 6: Final answer
    x = 10,198.11

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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.