Home / 1,582.47-2,184.84-1,416.40

Finding the Fourth Proportional to 1,582.47, 2,184.84 and 1,416.40

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Solution

The fourth proportional to 1,582.47, 2,184.84 and 1,416.40 is: 1,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.47 : 2,184.84 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    1,582.47/2,184.84 = 1,416.40/x
  3. Step 3: Cross multiply
    1,582.47x = 2,184.84 × 1,416.40
  4. Step 4: Simplify right side
    1,582.47x = 3,094,607.38
  5. Step 5: Solve for x
    x = 3,094,607.38/1,582.47
  6. Step 6: Final answer
    x = 1,955.56

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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.