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Finding the Fourth Proportional to 31,805.32, 47,709.72 and 9,618.16

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Solution

The fourth proportional to 31,805.32, 47,709.72 and 9,618.16 is: 14,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.32 : 47,709.72 = 9,618.16 : x
  2. Step 2: Convert to fraction form
    31,805.32/47,709.72 = 9,618.16/x
  3. Step 3: Cross multiply
    31,805.32x = 47,709.72 × 9,618.16
  4. Step 4: Simplify right side
    31,805.32x = 458,879,720.52
  5. Step 5: Solve for x
    x = 458,879,720.52/31,805.32
  6. Step 6: Final answer
    x = 14,427.77

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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.