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Finding the Fourth Proportional to 31,506.71, 47,258.84 and 7,814.31

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Solution

The fourth proportional to 31,506.71, 47,258.84 and 7,814.31 is: 11,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.71 : 47,258.84 = 7,814.31 : x
  2. Step 2: Convert to fraction form
    31,506.71/47,258.84 = 7,814.31/x
  3. Step 3: Cross multiply
    31,506.71x = 47,258.84 × 7,814.31
  4. Step 4: Simplify right side
    31,506.71x = 369,295,186.93
  5. Step 5: Solve for x
    x = 369,295,186.93/31,506.71
  6. Step 6: Final answer
    x = 11,721.16

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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.