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Finding the Fourth Proportional to 10,666, 15,992.16 and 4,430.32

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Solution

The fourth proportional to 10,666, 15,992.16 and 4,430.32 is: 6,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666 : 15,992.16 = 4,430.32 : x
  2. Step 2: Convert to fraction form
    10,666/15,992.16 = 4,430.32/x
  3. Step 3: Cross multiply
    10,666x = 15,992.16 × 4,430.32
  4. Step 4: Simplify right side
    10,666x = 70,850,364.14
  5. Step 5: Solve for x
    x = 70,850,364.14/10,666
  6. Step 6: Final answer
    x = 6,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.