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Finding the Fourth Proportional to 31,991.58, 47,985.63 and 9,805.02

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Solution

The fourth proportional to 31,991.58, 47,985.63 and 9,805.02 is: 14,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.58 : 47,985.63 = 9,805.02 : x
  2. Step 2: Convert to fraction form
    31,991.58/47,985.63 = 9,805.02/x
  3. Step 3: Cross multiply
    31,991.58x = 47,985.63 × 9,805.02
  4. Step 4: Simplify right side
    31,991.58x = 470,500,061.86
  5. Step 5: Solve for x
    x = 470,500,061.86/31,991.58
  6. Step 6: Final answer
    x = 14,707.00

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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.