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Finding the Fourth Proportional to 3,563, 5,345.58 and 1,254.50

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Solution

The fourth proportional to 3,563, 5,345.58 and 1,254.50 is: 1,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563 : 5,345.58 = 1,254.50 : x
  2. Step 2: Convert to fraction form
    3,563/5,345.58 = 1,254.50/x
  3. Step 3: Cross multiply
    3,563x = 5,345.58 × 1,254.50
  4. Step 4: Simplify right side
    3,563x = 6,706,030.11
  5. Step 5: Solve for x
    x = 6,706,030.11/3,563
  6. Step 6: Final answer
    x = 1,882.13

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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.