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Finding the Fourth Proportional to 34,302.40, 51,453.60 and 9,678.40

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Solution

The fourth proportional to 34,302.40, 51,453.60 and 9,678.40 is: 14,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302.40 : 51,453.60 = 9,678.40 : x
  2. Step 2: Convert to fraction form
    34,302.40/51,453.60 = 9,678.40/x
  3. Step 3: Cross multiply
    34,302.40x = 51,453.60 × 9,678.40
  4. Step 4: Simplify right side
    34,302.40x = 497,988,522.24
  5. Step 5: Solve for x
    x = 497,988,522.24/34,302.40
  6. Step 6: Final answer
    x = 14,517.60

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1.5x scale

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.