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Finding the Fourth Proportional to 1,406.10, 1,938.36 and 985.15

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Solution

The fourth proportional to 1,406.10, 1,938.36 and 985.15 is: 1,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.10 : 1,938.36 = 985.15 : x
  2. Step 2: Convert to fraction form
    1,406.10/1,938.36 = 985.15/x
  3. Step 3: Cross multiply
    1,406.10x = 1,938.36 × 985.15
  4. Step 4: Simplify right side
    1,406.10x = 1,909,575.35
  5. Step 5: Solve for x
    x = 1,909,575.35/1,406.10
  6. Step 6: Final answer
    x = 1,358.07

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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.