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Finding the Fourth Proportional to 10,132, 15,204.75 and 3,897.16

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Solution

The fourth proportional to 10,132, 15,204.75 and 3,897.16 is: 5,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132 : 15,204.75 = 3,897.16 : x
  2. Step 2: Convert to fraction form
    10,132/15,204.75 = 3,897.16/x
  3. Step 3: Cross multiply
    10,132x = 15,204.75 × 3,897.16
  4. Step 4: Simplify right side
    10,132x = 59,255,343.51
  5. Step 5: Solve for x
    x = 59,255,343.51/10,132
  6. Step 6: Final answer
    x = 5,848.34

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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.