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Finding the Fourth Proportional to 5,259, 7,888.56 and 1,363.17

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Solution

The fourth proportional to 5,259, 7,888.56 and 1,363.17 is: 2,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259 : 7,888.56 = 1,363.17 : x
  2. Step 2: Convert to fraction form
    5,259/7,888.56 = 1,363.17/x
  3. Step 3: Cross multiply
    5,259x = 7,888.56 × 1,363.17
  4. Step 4: Simplify right side
    5,259x = 10,753,448.34
  5. Step 5: Solve for x
    x = 10,753,448.34/5,259
  6. Step 6: Final answer
    x = 2,044.77

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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.