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Finding the Fourth Proportional to 31,128.74, 46,699.98 and 8,940.40

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Solution

The fourth proportional to 31,128.74, 46,699.98 and 8,940.40 is: 13,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.74 : 46,699.98 = 8,940.40 : x
  2. Step 2: Convert to fraction form
    31,128.74/46,699.98 = 8,940.40/x
  3. Step 3: Cross multiply
    31,128.74x = 46,699.98 × 8,940.40
  4. Step 4: Simplify right side
    31,128.74x = 417,516,501.19
  5. Step 5: Solve for x
    x = 417,516,501.19/31,128.74
  6. Step 6: Final answer
    x = 13,412.57

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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.