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Finding the Fourth Proportional to 7,000.32, 10,502.40 and 5,030.40

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Solution

The fourth proportional to 7,000.32, 10,502.40 and 5,030.40 is: 7,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.32 : 10,502.40 = 5,030.40 : x
  2. Step 2: Convert to fraction form
    7,000.32/10,502.40 = 5,030.40/x
  3. Step 3: Cross multiply
    7,000.32x = 10,502.40 × 5,030.40
  4. Step 4: Simplify right side
    7,000.32x = 52,831,272.96
  5. Step 5: Solve for x
    x = 52,831,272.96/7,000.32
  6. Step 6: Final answer
    x = 7,546.98

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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.