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Finding the Fourth Proportional to 15,642.77, 21,587.06 and 8,569.19

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Solution

The fourth proportional to 15,642.77, 21,587.06 and 8,569.19 is: 11,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.77 : 21,587.06 = 8,569.19 : x
  2. Step 2: Convert to fraction form
    15,642.77/21,587.06 = 8,569.19/x
  3. Step 3: Cross multiply
    15,642.77x = 21,587.06 × 8,569.19
  4. Step 4: Simplify right side
    15,642.77x = 184,983,575.84
  5. Step 5: Solve for x
    x = 184,983,575.84/15,642.77
  6. Step 6: Final answer
    x = 11,825.50

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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.