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Finding the Fourth Proportional to 5,669.60, 7,820.16 and 5,565.92

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Solution

The fourth proportional to 5,669.60, 7,820.16 and 5,565.92 is: 7,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.60 : 7,820.16 = 5,565.92 : x
  2. Step 2: Convert to fraction form
    5,669.60/7,820.16 = 5,565.92/x
  3. Step 3: Cross multiply
    5,669.60x = 7,820.16 × 5,565.92
  4. Step 4: Simplify right side
    5,669.60x = 43,526,384.95
  5. Step 5: Solve for x
    x = 43,526,384.95/5,669.60
  6. Step 6: Final answer
    x = 7,677.15

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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.