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Finding the Fourth Proportional to 31,547.94, 47,315.22 and 11,827.94

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Solution

The fourth proportional to 31,547.94, 47,315.22 and 11,827.94 is: 17,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.94 : 47,315.22 = 11,827.94 : x
  2. Step 2: Convert to fraction form
    31,547.94/47,315.22 = 11,827.94/x
  3. Step 3: Cross multiply
    31,547.94x = 47,315.22 × 11,827.94
  4. Step 4: Simplify right side
    31,547.94x = 559,641,583.25
  5. Step 5: Solve for x
    x = 559,641,583.25/31,547.94
  6. Step 6: Final answer
    x = 17,739.40

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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.