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Finding the Fourth Proportional to 31,130.70, 46,586.70 and 21,289.20

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Solution

The fourth proportional to 31,130.70, 46,586.70 and 21,289.20 is: 31,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.70 : 46,586.70 = 21,289.20 : x
  2. Step 2: Convert to fraction form
    31,130.70/46,586.70 = 21,289.20/x
  3. Step 3: Cross multiply
    31,130.70x = 46,586.70 × 21,289.20
  4. Step 4: Simplify right side
    31,130.70x = 991,793,573.64
  5. Step 5: Solve for x
    x = 991,793,573.64/31,130.70
  6. Step 6: Final answer
    x = 31,859.02

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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.