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Finding the Fourth Proportional to 11,354.61, 15,670.64 and 6,509.79

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Solution

The fourth proportional to 11,354.61, 15,670.64 and 6,509.79 is: 8,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.61 : 15,670.64 = 6,509.79 : x
  2. Step 2: Convert to fraction form
    11,354.61/15,670.64 = 6,509.79/x
  3. Step 3: Cross multiply
    11,354.61x = 15,670.64 × 6,509.79
  4. Step 4: Simplify right side
    11,354.61x = 102,012,575.57
  5. Step 5: Solve for x
    x = 102,012,575.57/11,354.61
  6. Step 6: Final answer
    x = 8,984.24

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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.