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Finding the Fourth Proportional to 1,503.89, 2,074.80 and 1,501.57

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Solution

The fourth proportional to 1,503.89, 2,074.80 and 1,501.57 is: 2,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.89 : 2,074.80 = 1,501.57 : x
  2. Step 2: Convert to fraction form
    1,503.89/2,074.80 = 1,501.57/x
  3. Step 3: Cross multiply
    1,503.89x = 2,074.80 × 1,501.57
  4. Step 4: Simplify right side
    1,503.89x = 3,115,457.44
  5. Step 5: Solve for x
    x = 3,115,457.44/1,503.89
  6. Step 6: Final answer
    x = 2,071.60

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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.