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Finding the Fourth Proportional to 7,648.16, 11,478.48 and 3,034.40

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Solution

The fourth proportional to 7,648.16, 11,478.48 and 3,034.40 is: 4,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.16 : 11,478.48 = 3,034.40 : x
  2. Step 2: Convert to fraction form
    7,648.16/11,478.48 = 3,034.40/x
  3. Step 3: Cross multiply
    7,648.16x = 11,478.48 × 3,034.40
  4. Step 4: Simplify right side
    7,648.16x = 34,830,299.71
  5. Step 5: Solve for x
    x = 34,830,299.71/7,648.16
  6. Step 6: Final answer
    x = 4,554.08

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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.