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Finding the Fourth Proportional to 12,666.70, 17,480.70 and 7,632.50

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Solution

The fourth proportional to 12,666.70, 17,480.70 and 7,632.50 is: 10,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.70 : 17,480.70 = 7,632.50 : x
  2. Step 2: Convert to fraction form
    12,666.70/17,480.70 = 7,632.50/x
  3. Step 3: Cross multiply
    12,666.70x = 17,480.70 × 7,632.50
  4. Step 4: Simplify right side
    12,666.70x = 133,421,442.75
  5. Step 5: Solve for x
    x = 133,421,442.75/12,666.70
  6. Step 6: Final answer
    x = 10,533.24

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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.