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Finding the Fourth Proportional to 6,071.65, 9,106.71 and 1,689.45

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Solution

The fourth proportional to 6,071.65, 9,106.71 and 1,689.45 is: 2,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.65 : 9,106.71 = 1,689.45 : x
  2. Step 2: Convert to fraction form
    6,071.65/9,106.71 = 1,689.45/x
  3. Step 3: Cross multiply
    6,071.65x = 9,106.71 × 1,689.45
  4. Step 4: Simplify right side
    6,071.65x = 15,385,285.68
  5. Step 5: Solve for x
    x = 15,385,285.68/6,071.65
  6. Step 6: Final answer
    x = 2,533.96

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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.