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Finding the Fourth Proportional to 12,312.80, 16,966.32 and 9,509.60

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Solution

The fourth proportional to 12,312.80, 16,966.32 and 9,509.60 is: 13,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.80 : 16,966.32 = 9,509.60 : x
  2. Step 2: Convert to fraction form
    12,312.80/16,966.32 = 9,509.60/x
  3. Step 3: Cross multiply
    12,312.80x = 16,966.32 × 9,509.60
  4. Step 4: Simplify right side
    12,312.80x = 161,342,916.67
  5. Step 5: Solve for x
    x = 161,342,916.67/12,312.80
  6. Step 6: Final answer
    x = 13,103.67

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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.