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Finding the Fourth Proportional to 7,810.40, 10,779 and 4,666.52

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Solution

The fourth proportional to 7,810.40, 10,779 and 4,666.52 is: 6,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.40 : 10,779 = 4,666.52 : x
  2. Step 2: Convert to fraction form
    7,810.40/10,779 = 4,666.52/x
  3. Step 3: Cross multiply
    7,810.40x = 10,779 × 4,666.52
  4. Step 4: Simplify right side
    7,810.40x = 50,300,419.08
  5. Step 5: Solve for x
    x = 50,300,419.08/7,810.40
  6. Step 6: Final answer
    x = 6,440.18

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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.