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Finding the Fourth Proportional to 15,545.84, 21,459.48 and 9,257

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Solution

The fourth proportional to 15,545.84, 21,459.48 and 9,257 is: 12,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,545.84 : 21,459.48 = 9,257 : x
  2. Step 2: Convert to fraction form
    15,545.84/21,459.48 = 9,257/x
  3. Step 3: Cross multiply
    15,545.84x = 21,459.48 × 9,257
  4. Step 4: Simplify right side
    15,545.84x = 198,650,406.36
  5. Step 5: Solve for x
    x = 198,650,406.36/15,545.84
  6. Step 6: Final answer
    x = 12,778.36

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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.