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Finding the Fourth Proportional to 7,477.88, 11,218.02 and 2,547

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Solution

The fourth proportional to 7,477.88, 11,218.02 and 2,547 is: 3,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.88 : 11,218.02 = 2,547 : x
  2. Step 2: Convert to fraction form
    7,477.88/11,218.02 = 2,547/x
  3. Step 3: Cross multiply
    7,477.88x = 11,218.02 × 2,547
  4. Step 4: Simplify right side
    7,477.88x = 28,572,296.94
  5. Step 5: Solve for x
    x = 28,572,296.94/7,477.88
  6. Step 6: Final answer
    x = 3,820.91

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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.