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Finding the Fourth Proportional to 1,347.68, 2,019.36 and 1,218.08

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Solution

The fourth proportional to 1,347.68, 2,019.36 and 1,218.08 is: 1,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.68 : 2,019.36 = 1,218.08 : x
  2. Step 2: Convert to fraction form
    1,347.68/2,019.36 = 1,218.08/x
  3. Step 3: Cross multiply
    1,347.68x = 2,019.36 × 1,218.08
  4. Step 4: Simplify right side
    1,347.68x = 2,459,742.03
  5. Step 5: Solve for x
    x = 2,459,742.03/1,347.68
  6. Step 6: Final answer
    x = 1,825.17

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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.