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Finding the Fourth Proportional to 5,565, 8,328.60 and 4,642.20

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Solution

The fourth proportional to 5,565, 8,328.60 and 4,642.20 is: 6,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 8,328.60 = 4,642.20 : x
  2. Step 2: Convert to fraction form
    5,565/8,328.60 = 4,642.20/x
  3. Step 3: Cross multiply
    5,565x = 8,328.60 × 4,642.20
  4. Step 4: Simplify right side
    5,565x = 38,663,026.92
  5. Step 5: Solve for x
    x = 38,663,026.92/5,565
  6. Step 6: Final answer
    x = 6,947.53

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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.