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Finding the Fourth Proportional to 5,582.99, 7,702.88 and 3,460.08

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Solution

The fourth proportional to 5,582.99, 7,702.88 and 3,460.08 is: 4,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.99 : 7,702.88 = 3,460.08 : x
  2. Step 2: Convert to fraction form
    5,582.99/7,702.88 = 3,460.08/x
  3. Step 3: Cross multiply
    5,582.99x = 7,702.88 × 3,460.08
  4. Step 4: Simplify right side
    5,582.99x = 26,652,581.03
  5. Step 5: Solve for x
    x = 26,652,581.03/5,582.99
  6. Step 6: Final answer
    x = 4,773.89

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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.