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Finding the Fourth Proportional to 1,511.30, 2,085.05 and 987.63

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Solution

The fourth proportional to 1,511.30, 2,085.05 and 987.63 is: 1,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.30 : 2,085.05 = 987.63 : x
  2. Step 2: Convert to fraction form
    1,511.30/2,085.05 = 987.63/x
  3. Step 3: Cross multiply
    1,511.30x = 2,085.05 × 987.63
  4. Step 4: Simplify right side
    1,511.30x = 2,059,260.40
  5. Step 5: Solve for x
    x = 2,059,260.40/1,511.30
  6. Step 6: Final answer
    x = 1,362.58

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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.