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Finding the Fourth Proportional to 9,203.50, 12,700.86 and 5,011.78

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Solution

The fourth proportional to 9,203.50, 12,700.86 and 5,011.78 is: 6,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.50 : 12,700.86 = 5,011.78 : x
  2. Step 2: Convert to fraction form
    9,203.50/12,700.86 = 5,011.78/x
  3. Step 3: Cross multiply
    9,203.50x = 12,700.86 × 5,011.78
  4. Step 4: Simplify right side
    9,203.50x = 63,653,916.13
  5. Step 5: Solve for x
    x = 63,653,916.13/9,203.50
  6. Step 6: Final answer
    x = 6,916.27

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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.