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Finding the Fourth Proportional to 12,862.16, 17,752.55 and 7,828.00

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Solution

The fourth proportional to 12,862.16, 17,752.55 and 7,828.00 is: 10,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.16 : 17,752.55 = 7,828.00 : x
  2. Step 2: Convert to fraction form
    12,862.16/17,752.55 = 7,828.00/x
  3. Step 3: Cross multiply
    12,862.16x = 17,752.55 × 7,828.00
  4. Step 4: Simplify right side
    12,862.16x = 138,966,921.91
  5. Step 5: Solve for x
    x = 138,966,921.91/12,862.16
  6. Step 6: Final answer
    x = 10,804.32

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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.