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Finding the Fourth Proportional to 7,712.48, 11,501.00 and 7,642.32

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Solution

The fourth proportional to 7,712.48, 11,501.00 and 7,642.32 is: 11,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.48 : 11,501.00 = 7,642.32 : x
  2. Step 2: Convert to fraction form
    7,712.48/11,501.00 = 7,642.32/x
  3. Step 3: Cross multiply
    7,712.48x = 11,501.00 × 7,642.32
  4. Step 4: Simplify right side
    7,712.48x = 87,894,312.63
  5. Step 5: Solve for x
    x = 87,894,312.63/7,712.48
  6. Step 6: Final answer
    x = 11,396.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.