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Finding the Fourth Proportional to 9,294.40, 12,823.08 and 5,312.64

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Solution

The fourth proportional to 9,294.40, 12,823.08 and 5,312.64 is: 7,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.40 : 12,823.08 = 5,312.64 : x
  2. Step 2: Convert to fraction form
    9,294.40/12,823.08 = 5,312.64/x
  3. Step 3: Cross multiply
    9,294.40x = 12,823.08 × 5,312.64
  4. Step 4: Simplify right side
    9,294.40x = 68,124,407.73
  5. Step 5: Solve for x
    x = 68,124,407.73/9,294.40
  6. Step 6: Final answer
    x = 7,329.62

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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.