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Finding the Fourth Proportional to 31,304.81, 46,959.95 and 7,931.25

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Solution

The fourth proportional to 31,304.81, 46,959.95 and 7,931.25 is: 11,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.81 : 46,959.95 = 7,931.25 : x
  2. Step 2: Convert to fraction form
    31,304.81/46,959.95 = 7,931.25/x
  3. Step 3: Cross multiply
    31,304.81x = 46,959.95 × 7,931.25
  4. Step 4: Simplify right side
    31,304.81x = 372,451,123.27
  5. Step 5: Solve for x
    x = 372,451,123.27/31,304.81
  6. Step 6: Final answer
    x = 11,897.57

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1.5x scale

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.