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Finding the Fourth Proportional to 6,706.77, 9,258.32 and 4,188.40

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Solution

The fourth proportional to 6,706.77, 9,258.32 and 4,188.40 is: 5,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.77 : 9,258.32 = 4,188.40 : x
  2. Step 2: Convert to fraction form
    6,706.77/9,258.32 = 4,188.40/x
  3. Step 3: Cross multiply
    6,706.77x = 9,258.32 × 4,188.40
  4. Step 4: Simplify right side
    6,706.77x = 38,777,547.49
  5. Step 5: Solve for x
    x = 38,777,547.49/6,706.77
  6. Step 6: Final answer
    x = 5,781.85

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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.