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Finding the Fourth Proportional to 13,710.40, 20,587.20 and 7,878.40

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Solution

The fourth proportional to 13,710.40, 20,587.20 and 7,878.40 is: 11,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.40 : 20,587.20 = 7,878.40 : x
  2. Step 2: Convert to fraction form
    13,710.40/20,587.20 = 7,878.40/x
  3. Step 3: Cross multiply
    13,710.40x = 20,587.20 × 7,878.40
  4. Step 4: Simplify right side
    13,710.40x = 162,194,196.48
  5. Step 5: Solve for x
    x = 162,194,196.48/13,710.40
  6. Step 6: Final answer
    x = 11,830.01

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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.