Home / 2,459.02-3,686.13-977.75

Finding the Fourth Proportional to 2,459.02, 3,686.13 and 977.75

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Solution

The fourth proportional to 2,459.02, 3,686.13 and 977.75 is: 1,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.02 : 3,686.13 = 977.75 : x
  2. Step 2: Convert to fraction form
    2,459.02/3,686.13 = 977.75/x
  3. Step 3: Cross multiply
    2,459.02x = 3,686.13 × 977.75
  4. Step 4: Simplify right side
    2,459.02x = 3,604,113.61
  5. Step 5: Solve for x
    x = 3,604,113.61/2,459.02
  6. Step 6: Final answer
    x = 1,465.67

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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.