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Finding the Fourth Proportional to 31,140, 46,709.76 and 8,953.56

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Solution

The fourth proportional to 31,140, 46,709.76 and 8,953.56 is: 13,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 46,709.76 = 8,953.56 : x
  2. Step 2: Convert to fraction form
    31,140/46,709.76 = 8,953.56/x
  3. Step 3: Cross multiply
    31,140x = 46,709.76 × 8,953.56
  4. Step 4: Simplify right side
    31,140x = 418,218,638.75
  5. Step 5: Solve for x
    x = 418,218,638.75/31,140
  6. Step 6: Final answer
    x = 13,430.27

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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.