Home / 1,547.47-2,322.49-1,402.16

Finding the Fourth Proportional to 1,547.47, 2,322.49 and 1,402.16

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Solution

The fourth proportional to 1,547.47, 2,322.49 and 1,402.16 is: 2,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.47 : 2,322.49 = 1,402.16 : x
  2. Step 2: Convert to fraction form
    1,547.47/2,322.49 = 1,402.16/x
  3. Step 3: Cross multiply
    1,547.47x = 2,322.49 × 1,402.16
  4. Step 4: Simplify right side
    1,547.47x = 3,256,502.58
  5. Step 5: Solve for x
    x = 3,256,502.58/1,547.47
  6. Step 6: Final answer
    x = 2,104.40

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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.