Home / 1,530.13-2,111.75-909.13

Finding the Fourth Proportional to 1,530.13, 2,111.75 and 909.13

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Solution

The fourth proportional to 1,530.13, 2,111.75 and 909.13 is: 1,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.13 : 2,111.75 = 909.13 : x
  2. Step 2: Convert to fraction form
    1,530.13/2,111.75 = 909.13/x
  3. Step 3: Cross multiply
    1,530.13x = 2,111.75 × 909.13
  4. Step 4: Simplify right side
    1,530.13x = 1,919,855.28
  5. Step 5: Solve for x
    x = 1,919,855.28/1,530.13
  6. Step 6: Final answer
    x = 1,254.70

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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.