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Finding the Fourth Proportional to 5,288.64, 7,931.34 and 3,655.68

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Solution

The fourth proportional to 5,288.64, 7,931.34 and 3,655.68 is: 5,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.64 : 7,931.34 = 3,655.68 : x
  2. Step 2: Convert to fraction form
    5,288.64/7,931.34 = 3,655.68/x
  3. Step 3: Cross multiply
    5,288.64x = 7,931.34 × 3,655.68
  4. Step 4: Simplify right side
    5,288.64x = 28,994,441.01
  5. Step 5: Solve for x
    x = 28,994,441.01/5,288.64
  6. Step 6: Final answer
    x = 5,482.40

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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.