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Finding the Fourth Proportional to 1,715.34, 2,367.14 and 969.28

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Solution

The fourth proportional to 1,715.34, 2,367.14 and 969.28 is: 1,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.34 : 2,367.14 = 969.28 : x
  2. Step 2: Convert to fraction form
    1,715.34/2,367.14 = 969.28/x
  3. Step 3: Cross multiply
    1,715.34x = 2,367.14 × 969.28
  4. Step 4: Simplify right side
    1,715.34x = 2,294,421.46
  5. Step 5: Solve for x
    x = 2,294,421.46/1,715.34
  6. Step 6: Final answer
    x = 1,337.59

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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.