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Finding the Fourth Proportional to 5,547.70, 7,657.06 and 3,780

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Solution

The fourth proportional to 5,547.70, 7,657.06 and 3,780 is: 5,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.70 : 7,657.06 = 3,780 : x
  2. Step 2: Convert to fraction form
    5,547.70/7,657.06 = 3,780/x
  3. Step 3: Cross multiply
    5,547.70x = 7,657.06 × 3,780
  4. Step 4: Simplify right side
    5,547.70x = 28,943,686.80
  5. Step 5: Solve for x
    x = 28,943,686.80/5,547.70
  6. Step 6: Final answer
    x = 5,217.24

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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.