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Finding the Fourth Proportional to 9,840.86, 14,752.92 and 7,987.34

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Solution

The fourth proportional to 9,840.86, 14,752.92 and 7,987.34 is: 11,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.86 : 14,752.92 = 7,987.34 : x
  2. Step 2: Convert to fraction form
    9,840.86/14,752.92 = 7,987.34/x
  3. Step 3: Cross multiply
    9,840.86x = 14,752.92 × 7,987.34
  4. Step 4: Simplify right side
    9,840.86x = 117,836,588.03
  5. Step 5: Solve for x
    x = 117,836,588.03/9,840.86
  6. Step 6: Final answer
    x = 11,974.22

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1.5x scale

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.