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Finding the Fourth Proportional to 9,959.16, 14,966.09 and 9,309

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Solution

The fourth proportional to 9,959.16, 14,966.09 and 9,309 is: 13,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.16 : 14,966.09 = 9,309 : x
  2. Step 2: Convert to fraction form
    9,959.16/14,966.09 = 9,309/x
  3. Step 3: Cross multiply
    9,959.16x = 14,966.09 × 9,309
  4. Step 4: Simplify right side
    9,959.16x = 139,319,331.81
  5. Step 5: Solve for x
    x = 139,319,331.81/9,959.16
  6. Step 6: Final answer
    x = 13,989.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.