Home / 30,031.48-45,034.34-10,312

Finding the Fourth Proportional to 30,031.48, 45,034.34 and 10,312

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Solution

The fourth proportional to 30,031.48, 45,034.34 and 10,312 is: 15,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.48 : 45,034.34 = 10,312 : x
  2. Step 2: Convert to fraction form
    30,031.48/45,034.34 = 10,312/x
  3. Step 3: Cross multiply
    30,031.48x = 45,034.34 × 10,312
  4. Step 4: Simplify right side
    30,031.48x = 464,394,114.08
  5. Step 5: Solve for x
    x = 464,394,114.08/30,031.48
  6. Step 6: Final answer
    x = 15,463.58

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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.