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Finding the Fourth Proportional to 6,460.79, 9,689.34 and 1,779.62

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Solution

The fourth proportional to 6,460.79, 9,689.34 and 1,779.62 is: 2,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.79 : 9,689.34 = 1,779.62 : x
  2. Step 2: Convert to fraction form
    6,460.79/9,689.34 = 1,779.62/x
  3. Step 3: Cross multiply
    6,460.79x = 9,689.34 × 1,779.62
  4. Step 4: Simplify right side
    6,460.79x = 17,243,343.25
  5. Step 5: Solve for x
    x = 17,243,343.25/6,460.79
  6. Step 6: Final answer
    x = 2,668.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.