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Finding the Fourth Proportional to 1,934.22, 2,900.35 and 947.11

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Solution

The fourth proportional to 1,934.22, 2,900.35 and 947.11 is: 1,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.22 : 2,900.35 = 947.11 : x
  2. Step 2: Convert to fraction form
    1,934.22/2,900.35 = 947.11/x
  3. Step 3: Cross multiply
    1,934.22x = 2,900.35 × 947.11
  4. Step 4: Simplify right side
    1,934.22x = 2,746,950.49
  5. Step 5: Solve for x
    x = 2,746,950.49/1,934.22
  6. Step 6: Final answer
    x = 1,420.19

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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.