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Finding the Fourth Proportional to 9,988.04, 13,783.48 and 7,340.40

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Solution

The fourth proportional to 9,988.04, 13,783.48 and 7,340.40 is: 10,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.04 : 13,783.48 = 7,340.40 : x
  2. Step 2: Convert to fraction form
    9,988.04/13,783.48 = 7,340.40/x
  3. Step 3: Cross multiply
    9,988.04x = 13,783.48 × 7,340.40
  4. Step 4: Simplify right side
    9,988.04x = 101,176,238.24
  5. Step 5: Solve for x
    x = 101,176,238.24/9,988.04
  6. Step 6: Final answer
    x = 10,129.74

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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.