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Finding the Fourth Proportional to 1,569.90, 2,351.70 and 983.10

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Solution

The fourth proportional to 1,569.90, 2,351.70 and 983.10 is: 1,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.90 : 2,351.70 = 983.10 : x
  2. Step 2: Convert to fraction form
    1,569.90/2,351.70 = 983.10/x
  3. Step 3: Cross multiply
    1,569.90x = 2,351.70 × 983.10
  4. Step 4: Simplify right side
    1,569.90x = 2,311,956.27
  5. Step 5: Solve for x
    x = 2,311,956.27/1,569.90
  6. Step 6: Final answer
    x = 1,472.68

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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.