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Finding the Fourth Proportional to 1,510.60, 2,083.62 and 1,219

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Solution

The fourth proportional to 1,510.60, 2,083.62 and 1,219 is: 1,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.60 : 2,083.62 = 1,219 : x
  2. Step 2: Convert to fraction form
    1,510.60/2,083.62 = 1,219/x
  3. Step 3: Cross multiply
    1,510.60x = 2,083.62 × 1,219
  4. Step 4: Simplify right side
    1,510.60x = 2,539,932.78
  5. Step 5: Solve for x
    x = 2,539,932.78/1,510.60
  6. Step 6: Final answer
    x = 1,681.41

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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.