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Finding the Fourth Proportional to 5,656.85, 7,806.09 and 3,417.40

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Solution

The fourth proportional to 5,656.85, 7,806.09 and 3,417.40 is: 4,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.85 : 7,806.09 = 3,417.40 : x
  2. Step 2: Convert to fraction form
    5,656.85/7,806.09 = 3,417.40/x
  3. Step 3: Cross multiply
    5,656.85x = 7,806.09 × 3,417.40
  4. Step 4: Simplify right side
    5,656.85x = 26,676,525.27
  5. Step 5: Solve for x
    x = 26,676,525.27/5,656.85
  6. Step 6: Final answer
    x = 4,715.80

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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.