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Finding the Fourth Proportional to 7,813.18, 10,780.05 and 5,020.30

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Solution

The fourth proportional to 7,813.18, 10,780.05 and 5,020.30 is: 6,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.18 : 10,780.05 = 5,020.30 : x
  2. Step 2: Convert to fraction form
    7,813.18/10,780.05 = 5,020.30/x
  3. Step 3: Cross multiply
    7,813.18x = 10,780.05 × 5,020.30
  4. Step 4: Simplify right side
    7,813.18x = 54,119,085.02
  5. Step 5: Solve for x
    x = 54,119,085.02/7,813.18
  6. Step 6: Final answer
    x = 6,926.64

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1.5x scale

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.