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Finding the Fourth Proportional to 9,835.40, 13,565.88 and 9,509.96

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Solution

The fourth proportional to 9,835.40, 13,565.88 and 9,509.96 is: 13,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.40 : 13,565.88 = 9,509.96 : x
  2. Step 2: Convert to fraction form
    9,835.40/13,565.88 = 9,509.96/x
  3. Step 3: Cross multiply
    9,835.40x = 13,565.88 × 9,509.96
  4. Step 4: Simplify right side
    9,835.40x = 129,010,908.34
  5. Step 5: Solve for x
    x = 129,010,908.34/9,835.40
  6. Step 6: Final answer
    x = 13,117.00

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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.