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Finding the Fourth Proportional to 8,706.19, 12,005.68 and 7,746.07

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Solution

The fourth proportional to 8,706.19, 12,005.68 and 7,746.07 is: 10,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.19 : 12,005.68 = 7,746.07 : x
  2. Step 2: Convert to fraction form
    8,706.19/12,005.68 = 7,746.07/x
  3. Step 3: Cross multiply
    8,706.19x = 12,005.68 × 7,746.07
  4. Step 4: Simplify right side
    8,706.19x = 92,996,837.68
  5. Step 5: Solve for x
    x = 92,996,837.68/8,706.19
  6. Step 6: Final answer
    x = 10,681.69

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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.