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Finding the Fourth Proportional to 31,314.32, 46,971.16 and 9,426.32

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Solution

The fourth proportional to 31,314.32, 46,971.16 and 9,426.32 is: 14,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.32 : 46,971.16 = 9,426.32 : x
  2. Step 2: Convert to fraction form
    31,314.32/46,971.16 = 9,426.32/x
  3. Step 3: Cross multiply
    31,314.32x = 46,971.16 × 9,426.32
  4. Step 4: Simplify right side
    31,314.32x = 442,765,184.93
  5. Step 5: Solve for x
    x = 442,765,184.93/31,314.32
  6. Step 6: Final answer
    x = 14,139.38

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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.