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Finding the Fourth Proportional to 13,256.80, 19,878.72 and 7,712.08

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Solution

The fourth proportional to 13,256.80, 19,878.72 and 7,712.08 is: 11,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.80 : 19,878.72 = 7,712.08 : x
  2. Step 2: Convert to fraction form
    13,256.80/19,878.72 = 7,712.08/x
  3. Step 3: Cross multiply
    13,256.80x = 19,878.72 × 7,712.08
  4. Step 4: Simplify right side
    13,256.80x = 153,306,278.94
  5. Step 5: Solve for x
    x = 153,306,278.94/13,256.80
  6. Step 6: Final answer
    x = 11,564.35

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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.