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Finding the Fourth Proportional to 31,642.77, 47,465.89 and 9,457.88

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Solution

The fourth proportional to 31,642.77, 47,465.89 and 9,457.88 is: 14,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.77 : 47,465.89 = 9,457.88 : x
  2. Step 2: Convert to fraction form
    31,642.77/47,465.89 = 9,457.88/x
  3. Step 3: Cross multiply
    31,642.77x = 47,465.89 × 9,457.88
  4. Step 4: Simplify right side
    31,642.77x = 448,926,619.13
  5. Step 5: Solve for x
    x = 448,926,619.13/31,642.77
  6. Step 6: Final answer
    x = 14,187.34

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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.