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Finding the Fourth Proportional to 10,810.90, 14,919 and 5,842.90

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Solution

The fourth proportional to 10,810.90, 14,919 and 5,842.90 is: 8,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.90 : 14,919 = 5,842.90 : x
  2. Step 2: Convert to fraction form
    10,810.90/14,919 = 5,842.90/x
  3. Step 3: Cross multiply
    10,810.90x = 14,919 × 5,842.90
  4. Step 4: Simplify right side
    10,810.90x = 87,170,225.10
  5. Step 5: Solve for x
    x = 87,170,225.10/10,810.90
  6. Step 6: Final answer
    x = 8,063.18

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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.