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Finding the Fourth Proportional to 31,506.59, 47,259.90 and 21,615.89

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Solution

The fourth proportional to 31,506.59, 47,259.90 and 21,615.89 is: 32,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.59 : 47,259.90 = 21,615.89 : x
  2. Step 2: Convert to fraction form
    31,506.59/47,259.90 = 21,615.89/x
  3. Step 3: Cross multiply
    31,506.59x = 47,259.90 × 21,615.89
  4. Step 4: Simplify right side
    31,506.59x = 1,021,564,563.51
  5. Step 5: Solve for x
    x = 1,021,564,563.51/31,506.59
  6. Step 6: Final answer
    x = 32,423.84

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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.