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Finding the Fourth Proportional to 1,756.95, 2,417 and 1,519.12

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Solution

The fourth proportional to 1,756.95, 2,417 and 1,519.12 is: 2,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.95 : 2,417 = 1,519.12 : x
  2. Step 2: Convert to fraction form
    1,756.95/2,417 = 1,519.12/x
  3. Step 3: Cross multiply
    1,756.95x = 2,417 × 1,519.12
  4. Step 4: Simplify right side
    1,756.95x = 3,671,713.04
  5. Step 5: Solve for x
    x = 3,671,713.04/1,756.95
  6. Step 6: Final answer
    x = 2,089.82

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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.