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Finding the Fourth Proportional to 8,746.93, 12,071.06 and 5,209.66

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Solution

The fourth proportional to 8,746.93, 12,071.06 and 5,209.66 is: 7,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.93 : 12,071.06 = 5,209.66 : x
  2. Step 2: Convert to fraction form
    8,746.93/12,071.06 = 5,209.66/x
  3. Step 3: Cross multiply
    8,746.93x = 12,071.06 × 5,209.66
  4. Step 4: Simplify right side
    8,746.93x = 62,886,118.44
  5. Step 5: Solve for x
    x = 62,886,118.44/8,746.93
  6. Step 6: Final answer
    x = 7,189.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.