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Finding the Fourth Proportional to 37,547, 51,816.48 and 20,780

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Solution

The fourth proportional to 37,547, 51,816.48 and 20,780 is: 28,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547 : 51,816.48 = 20,780 : x
  2. Step 2: Convert to fraction form
    37,547/51,816.48 = 20,780/x
  3. Step 3: Cross multiply
    37,547x = 51,816.48 × 20,780
  4. Step 4: Simplify right side
    37,547x = 1,076,746,454.40
  5. Step 5: Solve for x
    x = 1,076,746,454.40/37,547
  6. Step 6: Final answer
    x = 28,677.30

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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.