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Finding the Fourth Proportional to 31,603.65, 47,407.91 and 9,415.32

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Solution

The fourth proportional to 31,603.65, 47,407.91 and 9,415.32 is: 14,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.65 : 47,407.91 = 9,415.32 : x
  2. Step 2: Convert to fraction form
    31,603.65/47,407.91 = 9,415.32/x
  3. Step 3: Cross multiply
    31,603.65x = 47,407.91 × 9,415.32
  4. Step 4: Simplify right side
    31,603.65x = 446,360,596.10
  5. Step 5: Solve for x
    x = 446,360,596.10/31,603.65
  6. Step 6: Final answer
    x = 14,123.70

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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.