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Finding the Fourth Proportional to 9,189.84, 12,696.84 and 6,407.76

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Solution

The fourth proportional to 9,189.84, 12,696.84 and 6,407.76 is: 8,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.84 : 12,696.84 = 6,407.76 : x
  2. Step 2: Convert to fraction form
    9,189.84/12,696.84 = 6,407.76/x
  3. Step 3: Cross multiply
    9,189.84x = 12,696.84 × 6,407.76
  4. Step 4: Simplify right side
    9,189.84x = 81,358,303.48
  5. Step 5: Solve for x
    x = 81,358,303.48/9,189.84
  6. Step 6: Final answer
    x = 8,853.07

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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.