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Finding the Fourth Proportional to 12,750.74, 17,595.42 and 7,085.85

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Solution

The fourth proportional to 12,750.74, 17,595.42 and 7,085.85 is: 9,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.74 : 17,595.42 = 7,085.85 : x
  2. Step 2: Convert to fraction form
    12,750.74/17,595.42 = 7,085.85/x
  3. Step 3: Cross multiply
    12,750.74x = 17,595.42 × 7,085.85
  4. Step 4: Simplify right side
    12,750.74x = 124,678,506.81
  5. Step 5: Solve for x
    x = 124,678,506.81/12,750.74
  6. Step 6: Final answer
    x = 9,778.14

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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.