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Finding the Fourth Proportional to 12,510.77, 17,264.36 and 7,477.77

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Solution

The fourth proportional to 12,510.77, 17,264.36 and 7,477.77 is: 10,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510.77 : 17,264.36 = 7,477.77 : x
  2. Step 2: Convert to fraction form
    12,510.77/17,264.36 = 7,477.77/x
  3. Step 3: Cross multiply
    12,510.77x = 17,264.36 × 7,477.77
  4. Step 4: Simplify right side
    12,510.77x = 129,098,857.54
  5. Step 5: Solve for x
    x = 129,098,857.54/12,510.77
  6. Step 6: Final answer
    x = 10,319.02

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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.