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Finding the Fourth Proportional to 20,547.80, 30,809.82 and 8,053.22

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Solution

The fourth proportional to 20,547.80, 30,809.82 and 8,053.22 is: 12,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.80 : 30,809.82 = 8,053.22 : x
  2. Step 2: Convert to fraction form
    20,547.80/30,809.82 = 8,053.22/x
  3. Step 3: Cross multiply
    20,547.80x = 30,809.82 × 8,053.22
  4. Step 4: Simplify right side
    20,547.80x = 248,118,258.62
  5. Step 5: Solve for x
    x = 248,118,258.62/20,547.80
  6. Step 6: Final answer
    x = 12,075.17

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1.5x scale

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.