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Finding the Fourth Proportional to 12,970.80, 19,457.88 and 5,949.12

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Solution

The fourth proportional to 12,970.80, 19,457.88 and 5,949.12 is: 8,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.80 : 19,457.88 = 5,949.12 : x
  2. Step 2: Convert to fraction form
    12,970.80/19,457.88 = 5,949.12/x
  3. Step 3: Cross multiply
    12,970.80x = 19,457.88 × 5,949.12
  4. Step 4: Simplify right side
    12,970.80x = 115,757,263.07
  5. Step 5: Solve for x
    x = 115,757,263.07/12,970.80
  6. Step 6: Final answer
    x = 8,924.45

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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.