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Finding the Fourth Proportional to 7,642.48, 10,541.16 and 7,015

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Solution

The fourth proportional to 7,642.48, 10,541.16 and 7,015 is: 9,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.48 : 10,541.16 = 7,015 : x
  2. Step 2: Convert to fraction form
    7,642.48/10,541.16 = 7,015/x
  3. Step 3: Cross multiply
    7,642.48x = 10,541.16 × 7,015
  4. Step 4: Simplify right side
    7,642.48x = 73,946,237.40
  5. Step 5: Solve for x
    x = 73,946,237.40/7,642.48
  6. Step 6: Final answer
    x = 9,675.69

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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.