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Finding the Fourth Proportional to 39,547, 54,577.80 and 22,551.68

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Solution

The fourth proportional to 39,547, 54,577.80 and 22,551.68 is: 31,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,547 : 54,577.80 = 22,551.68 : x
  2. Step 2: Convert to fraction form
    39,547/54,577.80 = 22,551.68/x
  3. Step 3: Cross multiply
    39,547x = 54,577.80 × 22,551.68
  4. Step 4: Simplify right side
    39,547x = 1,230,821,080.70
  5. Step 5: Solve for x
    x = 1,230,821,080.70/39,547
  6. Step 6: Final answer
    x = 31,122.99

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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.