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Finding the Fourth Proportional to 10,870.50, 15,001.30 and 5,902.50

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Solution

The fourth proportional to 10,870.50, 15,001.30 and 5,902.50 is: 8,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.50 : 15,001.30 = 5,902.50 : x
  2. Step 2: Convert to fraction form
    10,870.50/15,001.30 = 5,902.50/x
  3. Step 3: Cross multiply
    10,870.50x = 15,001.30 × 5,902.50
  4. Step 4: Simplify right side
    10,870.50x = 88,545,173.25
  5. Step 5: Solve for x
    x = 88,545,173.25/10,870.50
  6. Step 6: Final answer
    x = 8,145.46

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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.