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Finding the Fourth Proportional to 15,970.29, 22,038.98 and 9,259.81

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Solution

The fourth proportional to 15,970.29, 22,038.98 and 9,259.81 is: 12,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.29 : 22,038.98 = 9,259.81 : x
  2. Step 2: Convert to fraction form
    15,970.29/22,038.98 = 9,259.81/x
  3. Step 3: Cross multiply
    15,970.29x = 22,038.98 × 9,259.81
  4. Step 4: Simplify right side
    15,970.29x = 204,076,767.39
  5. Step 5: Solve for x
    x = 204,076,767.39/15,970.29
  6. Step 6: Final answer
    x = 12,778.53

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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.