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Finding the Fourth Proportional to 31,133.72, 46,707.48 and 8,945.40

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Solution

The fourth proportional to 31,133.72, 46,707.48 and 8,945.40 is: 13,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.72 : 46,707.48 = 8,945.40 : x
  2. Step 2: Convert to fraction form
    31,133.72/46,707.48 = 8,945.40/x
  3. Step 3: Cross multiply
    31,133.72x = 46,707.48 × 8,945.40
  4. Step 4: Simplify right side
    31,133.72x = 417,817,091.59
  5. Step 5: Solve for x
    x = 417,817,091.59/31,133.72
  6. Step 6: Final answer
    x = 13,420.08

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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.