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Finding the Fourth Proportional to 9,780.77, 14,671.10 and 3,206.91

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Solution

The fourth proportional to 9,780.77, 14,671.10 and 3,206.91 is: 4,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.77 : 14,671.10 = 3,206.91 : x
  2. Step 2: Convert to fraction form
    9,780.77/14,671.10 = 3,206.91/x
  3. Step 3: Cross multiply
    9,780.77x = 14,671.10 × 3,206.91
  4. Step 4: Simplify right side
    9,780.77x = 47,048,881.27
  5. Step 5: Solve for x
    x = 47,048,881.27/9,780.77
  6. Step 6: Final answer
    x = 4,810.35

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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.