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Finding the Fourth Proportional to 31,886.65, 47,808.32 and 17,856.32

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Solution

The fourth proportional to 31,886.65, 47,808.32 and 17,856.32 is: 26,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.65 : 47,808.32 = 17,856.32 : x
  2. Step 2: Convert to fraction form
    31,886.65/47,808.32 = 17,856.32/x
  3. Step 3: Cross multiply
    31,886.65x = 47,808.32 × 17,856.32
  4. Step 4: Simplify right side
    31,886.65x = 853,680,660.58
  5. Step 5: Solve for x
    x = 853,680,660.58/31,886.65
  6. Step 6: Final answer
    x = 26,772.35

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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.