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Finding the Fourth Proportional to 11,055.69, 16,565.09 and 7,762.91

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Solution

The fourth proportional to 11,055.69, 16,565.09 and 7,762.91 is: 11,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.69 : 16,565.09 = 7,762.91 : x
  2. Step 2: Convert to fraction form
    11,055.69/16,565.09 = 7,762.91/x
  3. Step 3: Cross multiply
    11,055.69x = 16,565.09 × 7,762.91
  4. Step 4: Simplify right side
    11,055.69x = 128,593,181.17
  5. Step 5: Solve for x
    x = 128,593,181.17/11,055.69
  6. Step 6: Final answer
    x = 11,631.40

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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.