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Finding the Fourth Proportional to 7,671.42, 11,509.29 and 2,477.70

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Solution

The fourth proportional to 7,671.42, 11,509.29 and 2,477.70 is: 3,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.42 : 11,509.29 = 2,477.70 : x
  2. Step 2: Convert to fraction form
    7,671.42/11,509.29 = 2,477.70/x
  3. Step 3: Cross multiply
    7,671.42x = 11,509.29 × 2,477.70
  4. Step 4: Simplify right side
    7,671.42x = 28,516,567.83
  5. Step 5: Solve for x
    x = 28,516,567.83/7,671.42
  6. Step 6: Final answer
    x = 3,717.25

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1.5x scale

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.