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Finding the Fourth Proportional to 8,071.40, 12,038.07 and 7,090.68

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Solution

The fourth proportional to 8,071.40, 12,038.07 and 7,090.68 is: 10,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.40 : 12,038.07 = 7,090.68 : x
  2. Step 2: Convert to fraction form
    8,071.40/12,038.07 = 7,090.68/x
  3. Step 3: Cross multiply
    8,071.40x = 12,038.07 × 7,090.68
  4. Step 4: Simplify right side
    8,071.40x = 85,358,102.19
  5. Step 5: Solve for x
    x = 85,358,102.19/8,071.40
  6. Step 6: Final answer
    x = 10,575.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.