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Finding the Fourth Proportional to 1,913.67, 2,870.55 and 989.10

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Solution

The fourth proportional to 1,913.67, 2,870.55 and 989.10 is: 1,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.67 : 2,870.55 = 989.10 : x
  2. Step 2: Convert to fraction form
    1,913.67/2,870.55 = 989.10/x
  3. Step 3: Cross multiply
    1,913.67x = 2,870.55 × 989.10
  4. Step 4: Simplify right side
    1,913.67x = 2,839,261.01
  5. Step 5: Solve for x
    x = 2,839,261.01/1,913.67
  6. Step 6: Final answer
    x = 1,483.67

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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.