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Finding the Fourth Proportional to 13,319.10, 19,978.44 and 7,705.20

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Solution

The fourth proportional to 13,319.10, 19,978.44 and 7,705.20 is: 11,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.10 : 19,978.44 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    13,319.10/19,978.44 = 7,705.20/x
  3. Step 3: Cross multiply
    13,319.10x = 19,978.44 × 7,705.20
  4. Step 4: Simplify right side
    13,319.10x = 153,937,875.89
  5. Step 5: Solve for x
    x = 153,937,875.89/13,319.10
  6. Step 6: Final answer
    x = 11,557.68

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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.