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Finding the Fourth Proportional to 1,528.04, 2,107.74 and 930.38

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Solution

The fourth proportional to 1,528.04, 2,107.74 and 930.38 is: 1,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.04 : 2,107.74 = 930.38 : x
  2. Step 2: Convert to fraction form
    1,528.04/2,107.74 = 930.38/x
  3. Step 3: Cross multiply
    1,528.04x = 2,107.74 × 930.38
  4. Step 4: Simplify right side
    1,528.04x = 1,960,999.14
  5. Step 5: Solve for x
    x = 1,960,999.14/1,528.04
  6. Step 6: Final answer
    x = 1,283.34

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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.