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Finding the Fourth Proportional to 10,535.49, 14,513.57 and 9,018.21

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Solution

The fourth proportional to 10,535.49, 14,513.57 and 9,018.21 is: 12,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.49 : 14,513.57 = 9,018.21 : x
  2. Step 2: Convert to fraction form
    10,535.49/14,513.57 = 9,018.21/x
  3. Step 3: Cross multiply
    10,535.49x = 14,513.57 × 9,018.21
  4. Step 4: Simplify right side
    10,535.49x = 130,886,465.26
  5. Step 5: Solve for x
    x = 130,886,465.26/10,535.49
  6. Step 6: Final answer
    x = 12,423.39

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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.