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Finding the Fourth Proportional to 31,047, 46,574.88 and 9,979.98

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Solution

The fourth proportional to 31,047, 46,574.88 and 9,979.98 is: 14,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047 : 46,574.88 = 9,979.98 : x
  2. Step 2: Convert to fraction form
    31,047/46,574.88 = 9,979.98/x
  3. Step 3: Cross multiply
    31,047x = 46,574.88 × 9,979.98
  4. Step 4: Simplify right side
    31,047x = 464,816,370.90
  5. Step 5: Solve for x
    x = 464,816,370.90/31,047
  6. Step 6: Final answer
    x = 14,971.38

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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.