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Finding the Fourth Proportional to 1,566.65, 2,161.06 and 969.38

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Solution

The fourth proportional to 1,566.65, 2,161.06 and 969.38 is: 1,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.65 : 2,161.06 = 969.38 : x
  2. Step 2: Convert to fraction form
    1,566.65/2,161.06 = 969.38/x
  3. Step 3: Cross multiply
    1,566.65x = 2,161.06 × 969.38
  4. Step 4: Simplify right side
    1,566.65x = 2,094,883.22
  5. Step 5: Solve for x
    x = 2,094,883.22/1,566.65
  6. Step 6: Final answer
    x = 1,337.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.