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Finding the Fourth Proportional to 2,140.02, 3,210.03 and 580.16

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Solution

The fourth proportional to 2,140.02, 3,210.03 and 580.16 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.02 : 3,210.03 = 580.16 : x
  2. Step 2: Convert to fraction form
    2,140.02/3,210.03 = 580.16/x
  3. Step 3: Cross multiply
    2,140.02x = 3,210.03 × 580.16
  4. Step 4: Simplify right side
    2,140.02x = 1,862,339.03
  5. Step 5: Solve for x
    x = 1,862,339.03/2,140.02
  6. Step 6: Final answer
    x = 870.24

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1.5x scale

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.