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Finding the Fourth Proportional to 5,578.88, 7,700.16 and 4,088.96

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Solution

The fourth proportional to 5,578.88, 7,700.16 and 4,088.96 is: 5,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.88 : 7,700.16 = 4,088.96 : x
  2. Step 2: Convert to fraction form
    5,578.88/7,700.16 = 4,088.96/x
  3. Step 3: Cross multiply
    5,578.88x = 7,700.16 × 4,088.96
  4. Step 4: Simplify right side
    5,578.88x = 31,485,646.23
  5. Step 5: Solve for x
    x = 31,485,646.23/5,578.88
  6. Step 6: Final answer
    x = 5,643.72

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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.