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Finding the Fourth Proportional to 5,430.78, 7,487.91 and 4,590

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Solution

The fourth proportional to 5,430.78, 7,487.91 and 4,590 is: 6,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.78 : 7,487.91 = 4,590 : x
  2. Step 2: Convert to fraction form
    5,430.78/7,487.91 = 4,590/x
  3. Step 3: Cross multiply
    5,430.78x = 7,487.91 × 4,590
  4. Step 4: Simplify right side
    5,430.78x = 34,369,506.90
  5. Step 5: Solve for x
    x = 34,369,506.90/5,430.78
  6. Step 6: Final answer
    x = 6,328.65

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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.