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Finding the Fourth Proportional to 1,500.13, 2,070.20 and 870.79

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Solution

The fourth proportional to 1,500.13, 2,070.20 and 870.79 is: 1,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.13 : 2,070.20 = 870.79 : x
  2. Step 2: Convert to fraction form
    1,500.13/2,070.20 = 870.79/x
  3. Step 3: Cross multiply
    1,500.13x = 2,070.20 × 870.79
  4. Step 4: Simplify right side
    1,500.13x = 1,802,709.46
  5. Step 5: Solve for x
    x = 1,802,709.46/1,500.13
  6. Step 6: Final answer
    x = 1,201.70

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1.5x scale

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.