Home / 1,530.42-2,113.08-941.16

Finding the Fourth Proportional to 1,530.42, 2,113.08 and 941.16

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Solution

The fourth proportional to 1,530.42, 2,113.08 and 941.16 is: 1,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.42 : 2,113.08 = 941.16 : x
  2. Step 2: Convert to fraction form
    1,530.42/2,113.08 = 941.16/x
  3. Step 3: Cross multiply
    1,530.42x = 2,113.08 × 941.16
  4. Step 4: Simplify right side
    1,530.42x = 1,988,746.37
  5. Step 5: Solve for x
    x = 1,988,746.37/1,530.42
  6. Step 6: Final answer
    x = 1,299.48

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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.