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Finding the Fourth Proportional to 11,572.85, 15,980.06 and 7,097.69

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Solution

The fourth proportional to 11,572.85, 15,980.06 and 7,097.69 is: 9,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.85 : 15,980.06 = 7,097.69 : x
  2. Step 2: Convert to fraction form
    11,572.85/15,980.06 = 7,097.69/x
  3. Step 3: Cross multiply
    11,572.85x = 15,980.06 × 7,097.69
  4. Step 4: Simplify right side
    11,572.85x = 113,421,569.76
  5. Step 5: Solve for x
    x = 113,421,569.76/11,572.85
  6. Step 6: Final answer
    x = 9,800.66

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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.