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Finding the Fourth Proportional to 7,642.78, 10,547 and 4,285.60

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Solution

The fourth proportional to 7,642.78, 10,547 and 4,285.60 is: 5,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.78 : 10,547 = 4,285.60 : x
  2. Step 2: Convert to fraction form
    7,642.78/10,547 = 4,285.60/x
  3. Step 3: Cross multiply
    7,642.78x = 10,547 × 4,285.60
  4. Step 4: Simplify right side
    7,642.78x = 45,200,223.20
  5. Step 5: Solve for x
    x = 45,200,223.20/7,642.78
  6. Step 6: Final answer
    x = 5,914.11

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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.