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Finding the Fourth Proportional to 1,299.64, 1,794.98 and 947.14

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Solution

The fourth proportional to 1,299.64, 1,794.98 and 947.14 is: 1,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.64 : 1,794.98 = 947.14 : x
  2. Step 2: Convert to fraction form
    1,299.64/1,794.98 = 947.14/x
  3. Step 3: Cross multiply
    1,299.64x = 1,794.98 × 947.14
  4. Step 4: Simplify right side
    1,299.64x = 1,700,095.24
  5. Step 5: Solve for x
    x = 1,700,095.24/1,299.64
  6. Step 6: Final answer
    x = 1,308.13

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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.