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Finding the Fourth Proportional to 11,478.98, 15,842.16 and 7,005.74

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Solution

The fourth proportional to 11,478.98, 15,842.16 and 7,005.74 is: 9,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.98 : 15,842.16 = 7,005.74 : x
  2. Step 2: Convert to fraction form
    11,478.98/15,842.16 = 7,005.74/x
  3. Step 3: Cross multiply
    11,478.98x = 15,842.16 × 7,005.74
  4. Step 4: Simplify right side
    11,478.98x = 110,985,974.79
  5. Step 5: Solve for x
    x = 110,985,974.79/11,478.98
  6. Step 6: Final answer
    x = 9,668.62

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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.