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Finding the Fourth Proportional to 2,356.45, 3,534.09 and 970.17

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Solution

The fourth proportional to 2,356.45, 3,534.09 and 970.17 is: 1,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.45 : 3,534.09 = 970.17 : x
  2. Step 2: Convert to fraction form
    2,356.45/3,534.09 = 970.17/x
  3. Step 3: Cross multiply
    2,356.45x = 3,534.09 × 970.17
  4. Step 4: Simplify right side
    2,356.45x = 3,428,668.10
  5. Step 5: Solve for x
    x = 3,428,668.10/2,356.45
  6. Step 6: Final answer
    x = 1,455.01

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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.