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Finding the Fourth Proportional to 4,671.90, 7,009.16 and 1,384.92

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Solution

The fourth proportional to 4,671.90, 7,009.16 and 1,384.92 is: 2,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.90 : 7,009.16 = 1,384.92 : x
  2. Step 2: Convert to fraction form
    4,671.90/7,009.16 = 1,384.92/x
  3. Step 3: Cross multiply
    4,671.90x = 7,009.16 × 1,384.92
  4. Step 4: Simplify right side
    4,671.90x = 9,707,118.94
  5. Step 5: Solve for x
    x = 9,707,118.94/4,671.90
  6. Step 6: Final answer
    x = 2,077.77

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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.