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Finding the Fourth Proportional to 12,666.16, 18,979.80 and 7,728.40

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Solution

The fourth proportional to 12,666.16, 18,979.80 and 7,728.40 is: 11,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.16 : 18,979.80 = 7,728.40 : x
  2. Step 2: Convert to fraction form
    12,666.16/18,979.80 = 7,728.40/x
  3. Step 3: Cross multiply
    12,666.16x = 18,979.80 × 7,728.40
  4. Step 4: Simplify right side
    12,666.16x = 146,683,486.32
  5. Step 5: Solve for x
    x = 146,683,486.32/12,666.16
  6. Step 6: Final answer
    x = 11,580.74

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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.