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Finding the Fourth Proportional to 31,133.64, 46,700.06 and 7,760.28

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Solution

The fourth proportional to 31,133.64, 46,700.06 and 7,760.28 is: 11,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.64 : 46,700.06 = 7,760.28 : x
  2. Step 2: Convert to fraction form
    31,133.64/46,700.06 = 7,760.28/x
  3. Step 3: Cross multiply
    31,133.64x = 46,700.06 × 7,760.28
  4. Step 4: Simplify right side
    31,133.64x = 362,405,502.82
  5. Step 5: Solve for x
    x = 362,405,502.82/31,133.64
  6. Step 6: Final answer
    x = 11,640.32

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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.