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Finding the Fourth Proportional to 7,645, 10,533.93 and 7,119.06

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Solution

The fourth proportional to 7,645, 10,533.93 and 7,119.06 is: 9,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645 : 10,533.93 = 7,119.06 : x
  2. Step 2: Convert to fraction form
    7,645/10,533.93 = 7,119.06/x
  3. Step 3: Cross multiply
    7,645x = 10,533.93 × 7,119.06
  4. Step 4: Simplify right side
    7,645x = 74,991,679.71
  5. Step 5: Solve for x
    x = 74,991,679.71/7,645
  6. Step 6: Final answer
    x = 9,809.25

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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.