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Finding the Fourth Proportional to 1,569.36, 2,167.08 and 980.94

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Solution

The fourth proportional to 1,569.36, 2,167.08 and 980.94 is: 1,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.36 : 2,167.08 = 980.94 : x
  2. Step 2: Convert to fraction form
    1,569.36/2,167.08 = 980.94/x
  3. Step 3: Cross multiply
    1,569.36x = 2,167.08 × 980.94
  4. Step 4: Simplify right side
    1,569.36x = 2,125,775.46
  5. Step 5: Solve for x
    x = 2,125,775.46/1,569.36
  6. Step 6: Final answer
    x = 1,354.55

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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.