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Finding the Fourth Proportional to 10,570.80, 15,854.93 and 2,780.22

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Solution

The fourth proportional to 10,570.80, 15,854.93 and 2,780.22 is: 4,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.80 : 15,854.93 = 2,780.22 : x
  2. Step 2: Convert to fraction form
    10,570.80/15,854.93 = 2,780.22/x
  3. Step 3: Cross multiply
    10,570.80x = 15,854.93 × 2,780.22
  4. Step 4: Simplify right side
    10,570.80x = 44,080,193.48
  5. Step 5: Solve for x
    x = 44,080,193.48/10,570.80
  6. Step 6: Final answer
    x = 4,170.00

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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.