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Finding the Fourth Proportional to 9,752.10, 13,448.88 and 7,319.76

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Solution

The fourth proportional to 9,752.10, 13,448.88 and 7,319.76 is: 10,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.10 : 13,448.88 = 7,319.76 : x
  2. Step 2: Convert to fraction form
    9,752.10/13,448.88 = 7,319.76/x
  3. Step 3: Cross multiply
    9,752.10x = 13,448.88 × 7,319.76
  4. Step 4: Simplify right side
    9,752.10x = 98,442,573.87
  5. Step 5: Solve for x
    x = 98,442,573.87/9,752.10
  6. Step 6: Final answer
    x = 10,094.50

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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.