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Finding the Fourth Proportional to 6,130, 8,459.40 and 3,646

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Solution

The fourth proportional to 6,130, 8,459.40 and 3,646 is: 5,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 8,459.40 = 3,646 : x
  2. Step 2: Convert to fraction form
    6,130/8,459.40 = 3,646/x
  3. Step 3: Cross multiply
    6,130x = 8,459.40 × 3,646
  4. Step 4: Simplify right side
    6,130x = 30,842,972.40
  5. Step 5: Solve for x
    x = 30,842,972.40/6,130
  6. Step 6: Final answer
    x = 5,031.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.