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Finding the Fourth Proportional to 7,809.60, 10,779.68 and 6,427.20

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Solution

The fourth proportional to 7,809.60, 10,779.68 and 6,427.20 is: 8,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.60 : 10,779.68 = 6,427.20 : x
  2. Step 2: Convert to fraction form
    7,809.60/10,779.68 = 6,427.20/x
  3. Step 3: Cross multiply
    7,809.60x = 10,779.68 × 6,427.20
  4. Step 4: Simplify right side
    7,809.60x = 69,283,159.30
  5. Step 5: Solve for x
    x = 69,283,159.30/7,809.60
  6. Step 6: Final answer
    x = 8,871.54

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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.