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Finding the Fourth Proportional to 9,772.80, 14,626.80 and 8,606.40

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Solution

The fourth proportional to 9,772.80, 14,626.80 and 8,606.40 is: 12,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.80 : 14,626.80 = 8,606.40 : x
  2. Step 2: Convert to fraction form
    9,772.80/14,626.80 = 8,606.40/x
  3. Step 3: Cross multiply
    9,772.80x = 14,626.80 × 8,606.40
  4. Step 4: Simplify right side
    9,772.80x = 125,884,091.52
  5. Step 5: Solve for x
    x = 125,884,091.52/9,772.80
  6. Step 6: Final answer
    x = 12,881.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.