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Finding the Fourth Proportional to 9,316, 12,856.08 and 5,590

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Solution

The fourth proportional to 9,316, 12,856.08 and 5,590 is: 7,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316 : 12,856.08 = 5,590 : x
  2. Step 2: Convert to fraction form
    9,316/12,856.08 = 5,590/x
  3. Step 3: Cross multiply
    9,316x = 12,856.08 × 5,590
  4. Step 4: Simplify right side
    9,316x = 71,865,487.20
  5. Step 5: Solve for x
    x = 71,865,487.20/9,316
  6. Step 6: Final answer
    x = 7,714.20

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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.