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Finding the Fourth Proportional to 1,970.90, 2,720.10 and 1,087

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Solution

The fourth proportional to 1,970.90, 2,720.10 and 1,087 is: 1,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.90 : 2,720.10 = 1,087 : x
  2. Step 2: Convert to fraction form
    1,970.90/2,720.10 = 1,087/x
  3. Step 3: Cross multiply
    1,970.90x = 2,720.10 × 1,087
  4. Step 4: Simplify right side
    1,970.90x = 2,956,748.70
  5. Step 5: Solve for x
    x = 2,956,748.70/1,970.90
  6. Step 6: Final answer
    x = 1,500.20

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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.