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Finding the Fourth Proportional to 10,043.10, 13,857.08 and 7,209.99

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Solution

The fourth proportional to 10,043.10, 13,857.08 and 7,209.99 is: 9,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.10 : 13,857.08 = 7,209.99 : x
  2. Step 2: Convert to fraction form
    10,043.10/13,857.08 = 7,209.99/x
  3. Step 3: Cross multiply
    10,043.10x = 13,857.08 × 7,209.99
  4. Step 4: Simplify right side
    10,043.10x = 99,909,372.18
  5. Step 5: Solve for x
    x = 99,909,372.18/10,043.10
  6. Step 6: Final answer
    x = 9,948.06

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1.5x scale

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.