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Finding the Fourth Proportional to 1,497.68, 2,068.48 and 1,477.20

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Solution

The fourth proportional to 1,497.68, 2,068.48 and 1,477.20 is: 2,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,068.48 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,068.48 = 1,477.20/x
  3. Step 3: Cross multiply
    1,497.68x = 2,068.48 × 1,477.20
  4. Step 4: Simplify right side
    1,497.68x = 3,055,558.66
  5. Step 5: Solve for x
    x = 3,055,558.66/1,497.68
  6. Step 6: Final answer
    x = 2,040.19

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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.