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Finding the Fourth Proportional to 9,299.79, 12,835.22 and 7,178.40

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Solution

The fourth proportional to 9,299.79, 12,835.22 and 7,178.40 is: 9,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.79 : 12,835.22 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    9,299.79/12,835.22 = 7,178.40/x
  3. Step 3: Cross multiply
    9,299.79x = 12,835.22 × 7,178.40
  4. Step 4: Simplify right side
    9,299.79x = 92,136,307.36
  5. Step 5: Solve for x
    x = 92,136,307.36/9,299.79
  6. Step 6: Final answer
    x = 9,907.35

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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.