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Finding the Fourth Proportional to 10,271.88, 15,398.10 and 5,071.68

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Solution

The fourth proportional to 10,271.88, 15,398.10 and 5,071.68 is: 7,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.88 : 15,398.10 = 5,071.68 : x
  2. Step 2: Convert to fraction form
    10,271.88/15,398.10 = 5,071.68/x
  3. Step 3: Cross multiply
    10,271.88x = 15,398.10 × 5,071.68
  4. Step 4: Simplify right side
    10,271.88x = 78,094,235.81
  5. Step 5: Solve for x
    x = 78,094,235.81/10,271.88
  6. Step 6: Final answer
    x = 7,602.72

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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.