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Finding the Fourth Proportional to 9,681.60, 13,354.80 and 5,949.12

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Solution

The fourth proportional to 9,681.60, 13,354.80 and 5,949.12 is: 8,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.60 : 13,354.80 = 5,949.12 : x
  2. Step 2: Convert to fraction form
    9,681.60/13,354.80 = 5,949.12/x
  3. Step 3: Cross multiply
    9,681.60x = 13,354.80 × 5,949.12
  4. Step 4: Simplify right side
    9,681.60x = 79,449,307.78
  5. Step 5: Solve for x
    x = 79,449,307.78/9,681.60
  6. Step 6: Final answer
    x = 8,206.22

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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.