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Finding the Fourth Proportional to 9,205.20, 13,807.80 and 8,585.55

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Solution

The fourth proportional to 9,205.20, 13,807.80 and 8,585.55 is: 12,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.20 : 13,807.80 = 8,585.55 : x
  2. Step 2: Convert to fraction form
    9,205.20/13,807.80 = 8,585.55/x
  3. Step 3: Cross multiply
    9,205.20x = 13,807.80 × 8,585.55
  4. Step 4: Simplify right side
    9,205.20x = 118,547,557.29
  5. Step 5: Solve for x
    x = 118,547,557.29/9,205.20
  6. Step 6: Final answer
    x = 12,878.33

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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.