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Finding the Fourth Proportional to 10,587, 15,880.47 and 2,795.76

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Solution

The fourth proportional to 10,587, 15,880.47 and 2,795.76 is: 4,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587 : 15,880.47 = 2,795.76 : x
  2. Step 2: Convert to fraction form
    10,587/15,880.47 = 2,795.76/x
  3. Step 3: Cross multiply
    10,587x = 15,880.47 × 2,795.76
  4. Step 4: Simplify right side
    10,587x = 44,397,982.81
  5. Step 5: Solve for x
    x = 44,397,982.81/10,587
  6. Step 6: Final answer
    x = 4,193.63

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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.