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Finding the Fourth Proportional to 7,810.29, 10,776.11 and 4,978.53

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Solution

The fourth proportional to 7,810.29, 10,776.11 and 4,978.53 is: 6,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.29 : 10,776.11 = 4,978.53 : x
  2. Step 2: Convert to fraction form
    7,810.29/10,776.11 = 4,978.53/x
  3. Step 3: Cross multiply
    7,810.29x = 10,776.11 × 4,978.53
  4. Step 4: Simplify right side
    7,810.29x = 53,649,162.03
  5. Step 5: Solve for x
    x = 53,649,162.03/7,810.29
  6. Step 6: Final answer
    x = 6,869.04

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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.