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Finding the Fourth Proportional to 31,347, 47,020.50 and 10,570.50

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Solution

The fourth proportional to 31,347, 47,020.50 and 10,570.50 is: 15,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 47,020.50 = 10,570.50 : x
  2. Step 2: Convert to fraction form
    31,347/47,020.50 = 10,570.50/x
  3. Step 3: Cross multiply
    31,347x = 47,020.50 × 10,570.50
  4. Step 4: Simplify right side
    31,347x = 497,030,195.25
  5. Step 5: Solve for x
    x = 497,030,195.25/31,347
  6. Step 6: Final answer
    x = 15,855.75

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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.