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Finding the Fourth Proportional to 10,462.60, 14,437.73 and 9,626.68

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Solution

The fourth proportional to 10,462.60, 14,437.73 and 9,626.68 is: 13,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.60 : 14,437.73 = 9,626.68 : x
  2. Step 2: Convert to fraction form
    10,462.60/14,437.73 = 9,626.68/x
  3. Step 3: Cross multiply
    10,462.60x = 14,437.73 × 9,626.68
  4. Step 4: Simplify right side
    10,462.60x = 138,987,406.64
  5. Step 5: Solve for x
    x = 138,987,406.64/10,462.60
  6. Step 6: Final answer
    x = 13,284.21

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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.