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Finding the Fourth Proportional to 7,810.90, 10,779.11 and 4,274.14

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Solution

The fourth proportional to 7,810.90, 10,779.11 and 4,274.14 is: 5,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.90 : 10,779.11 = 4,274.14 : x
  2. Step 2: Convert to fraction form
    7,810.90/10,779.11 = 4,274.14/x
  3. Step 3: Cross multiply
    7,810.90x = 10,779.11 × 4,274.14
  4. Step 4: Simplify right side
    7,810.90x = 46,071,403.84
  5. Step 5: Solve for x
    x = 46,071,403.84/7,810.90
  6. Step 6: Final answer
    x = 5,898.35

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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.