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Finding the Fourth Proportional to 10,645.34, 14,687.97 and 7,011.01

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Solution

The fourth proportional to 10,645.34, 14,687.97 and 7,011.01 is: 9,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.34 : 14,687.97 = 7,011.01 : x
  2. Step 2: Convert to fraction form
    10,645.34/14,687.97 = 7,011.01/x
  3. Step 3: Cross multiply
    10,645.34x = 14,687.97 × 7,011.01
  4. Step 4: Simplify right side
    10,645.34x = 102,977,496.62
  5. Step 5: Solve for x
    x = 102,977,496.62/10,645.34
  6. Step 6: Final answer
    x = 9,673.49

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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.