Home / 1,547.17-2,316.60-815.20

Finding the Fourth Proportional to 1,547.17, 2,316.60 and 815.20

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Solution

The fourth proportional to 1,547.17, 2,316.60 and 815.20 is: 1,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.17 : 2,316.60 = 815.20 : x
  2. Step 2: Convert to fraction form
    1,547.17/2,316.60 = 815.20/x
  3. Step 3: Cross multiply
    1,547.17x = 2,316.60 × 815.20
  4. Step 4: Simplify right side
    1,547.17x = 1,888,492.32
  5. Step 5: Solve for x
    x = 1,888,492.32/1,547.17
  6. Step 6: Final answer
    x = 1,220.61

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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.