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Finding the Fourth Proportional to 31,287.72, 46,931.62 and 7,914.16

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Solution

The fourth proportional to 31,287.72, 46,931.62 and 7,914.16 is: 11,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.72 : 46,931.62 = 7,914.16 : x
  2. Step 2: Convert to fraction form
    31,287.72/46,931.62 = 7,914.16/x
  3. Step 3: Cross multiply
    31,287.72x = 46,931.62 × 7,914.16
  4. Step 4: Simplify right side
    31,287.72x = 371,424,349.74
  5. Step 5: Solve for x
    x = 371,424,349.74/31,287.72
  6. Step 6: Final answer
    x = 11,871.25

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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.