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Finding the Fourth Proportional to 1,910.99, 2,869.12 and 987.19

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Solution

The fourth proportional to 1,910.99, 2,869.12 and 987.19 is: 1,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.99 : 2,869.12 = 987.19 : x
  2. Step 2: Convert to fraction form
    1,910.99/2,869.12 = 987.19/x
  3. Step 3: Cross multiply
    1,910.99x = 2,869.12 × 987.19
  4. Step 4: Simplify right side
    1,910.99x = 2,832,360.63
  5. Step 5: Solve for x
    x = 2,832,360.63/1,910.99
  6. Step 6: Final answer
    x = 1,482.14

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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.