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Finding the Fourth Proportional to 9,312.80, 13,969.20 and 9,215.60

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Solution

The fourth proportional to 9,312.80, 13,969.20 and 9,215.60 is: 13,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.80 : 13,969.20 = 9,215.60 : x
  2. Step 2: Convert to fraction form
    9,312.80/13,969.20 = 9,215.60/x
  3. Step 3: Cross multiply
    9,312.80x = 13,969.20 × 9,215.60
  4. Step 4: Simplify right side
    9,312.80x = 128,734,559.52
  5. Step 5: Solve for x
    x = 128,734,559.52/9,312.80
  6. Step 6: Final answer
    x = 13,823.40

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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.