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Finding the Fourth Proportional to 10,030.66, 13,842.22 and 5,780.16

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Solution

The fourth proportional to 10,030.66, 13,842.22 and 5,780.16 is: 7,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.66 : 13,842.22 = 5,780.16 : x
  2. Step 2: Convert to fraction form
    10,030.66/13,842.22 = 5,780.16/x
  3. Step 3: Cross multiply
    10,030.66x = 13,842.22 × 5,780.16
  4. Step 4: Simplify right side
    10,030.66x = 80,010,226.49
  5. Step 5: Solve for x
    x = 80,010,226.49/10,030.66
  6. Step 6: Final answer
    x = 7,976.57

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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.