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Finding the Fourth Proportional to 5,644.48, 7,788.21 and 3,547.39

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Solution

The fourth proportional to 5,644.48, 7,788.21 and 3,547.39 is: 4,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.48 : 7,788.21 = 3,547.39 : x
  2. Step 2: Convert to fraction form
    5,644.48/7,788.21 = 3,547.39/x
  3. Step 3: Cross multiply
    5,644.48x = 7,788.21 × 3,547.39
  4. Step 4: Simplify right side
    5,644.48x = 27,627,818.27
  5. Step 5: Solve for x
    x = 27,627,818.27/5,644.48
  6. Step 6: Final answer
    x = 4,894.66

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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.