Home / 1,681.88-2,319.78-1,122.08

Finding the Fourth Proportional to 1,681.88, 2,319.78 and 1,122.08

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Solution

The fourth proportional to 1,681.88, 2,319.78 and 1,122.08 is: 1,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.88 : 2,319.78 = 1,122.08 : x
  2. Step 2: Convert to fraction form
    1,681.88/2,319.78 = 1,122.08/x
  3. Step 3: Cross multiply
    1,681.88x = 2,319.78 × 1,122.08
  4. Step 4: Simplify right side
    1,681.88x = 2,602,978.74
  5. Step 5: Solve for x
    x = 2,602,978.74/1,681.88
  6. Step 6: Final answer
    x = 1,547.66

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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.