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Finding the Fourth Proportional to 31,607.91, 47,411.84 and 9,420.72

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Solution

The fourth proportional to 31,607.91, 47,411.84 and 9,420.72 is: 14,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.91 : 47,411.84 = 9,420.72 : x
  2. Step 2: Convert to fraction form
    31,607.91/47,411.84 = 9,420.72/x
  3. Step 3: Cross multiply
    31,607.91x = 47,411.84 × 9,420.72
  4. Step 4: Simplify right side
    31,607.91x = 446,653,515.08
  5. Step 5: Solve for x
    x = 446,653,515.08/31,607.91
  6. Step 6: Final answer
    x = 14,131.07

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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.