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Finding the Fourth Proportional to 10,346, 15,512.80 and 7,018.32

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Solution

The fourth proportional to 10,346, 15,512.80 and 7,018.32 is: 10,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346 : 15,512.80 = 7,018.32 : x
  2. Step 2: Convert to fraction form
    10,346/15,512.80 = 7,018.32/x
  3. Step 3: Cross multiply
    10,346x = 15,512.80 × 7,018.32
  4. Step 4: Simplify right side
    10,346x = 108,873,794.50
  5. Step 5: Solve for x
    x = 108,873,794.50/10,346
  6. Step 6: Final answer
    x = 10,523.27

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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.