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Finding the Fourth Proportional to 7,610, 10,501.80 and 4,298

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Solution

The fourth proportional to 7,610, 10,501.80 and 4,298 is: 5,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610 : 10,501.80 = 4,298 : x
  2. Step 2: Convert to fraction form
    7,610/10,501.80 = 4,298/x
  3. Step 3: Cross multiply
    7,610x = 10,501.80 × 4,298
  4. Step 4: Simplify right side
    7,610x = 45,136,736.40
  5. Step 5: Solve for x
    x = 45,136,736.40/7,610
  6. Step 6: Final answer
    x = 5,931.24

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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.