Home / 3,130.61-4,695.93-822.11

Finding the Fourth Proportional to 3,130.61, 4,695.93 and 822.11

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Solution

The fourth proportional to 3,130.61, 4,695.93 and 822.11 is: 1,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.61 : 4,695.93 = 822.11 : x
  2. Step 2: Convert to fraction form
    3,130.61/4,695.93 = 822.11/x
  3. Step 3: Cross multiply
    3,130.61x = 4,695.93 × 822.11
  4. Step 4: Simplify right side
    3,130.61x = 3,860,547.53
  5. Step 5: Solve for x
    x = 3,860,547.53/3,130.61
  6. Step 6: Final answer
    x = 1,233.16

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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.