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Finding the Fourth Proportional to 9,302.68, 12,818.62 and 8,646.40

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Solution

The fourth proportional to 9,302.68, 12,818.62 and 8,646.40 is: 11,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.68 : 12,818.62 = 8,646.40 : x
  2. Step 2: Convert to fraction form
    9,302.68/12,818.62 = 8,646.40/x
  3. Step 3: Cross multiply
    9,302.68x = 12,818.62 × 8,646.40
  4. Step 4: Simplify right side
    9,302.68x = 110,834,915.97
  5. Step 5: Solve for x
    x = 110,834,915.97/9,302.68
  6. Step 6: Final answer
    x = 11,914.30

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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.