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Finding the Fourth Proportional to 31,012.81, 46,502.10 and 9,659.72

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Solution

The fourth proportional to 31,012.81, 46,502.10 and 9,659.72 is: 14,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.81 : 46,502.10 = 9,659.72 : x
  2. Step 2: Convert to fraction form
    31,012.81/46,502.10 = 9,659.72/x
  3. Step 3: Cross multiply
    31,012.81x = 46,502.10 × 9,659.72
  4. Step 4: Simplify right side
    31,012.81x = 449,197,381.67
  5. Step 5: Solve for x
    x = 449,197,381.67/31,012.81
  6. Step 6: Final answer
    x = 14,484.25

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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.